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213013010133300 = 2235213181301760887
BaseRepresentation
bin110000011011101111110100…
…110011010011000100110100
31000221012211210220222211120210
4300123233310303103010310
5210410001121043231200
62033012454222225420
762603452652360046
oct6033576463230464
91027184726884523
10213013010133300
1161966345a89823
121ba83422125270
1391b206b456410
143a85c55891a96
151995e559ca650
hexc1bbf4cd3134

213013010133300 has 144 divisors (see below), whose sum is σ = 667393692597632. Its totient is φ = 52144281100800.

The previous prime is 213013010133269. The next prime is 213013010133307. The reversal of 213013010133300 is 3331010310312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213013010133307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150174544 + ... + 151586343.

Almost surely, 2213013010133300 is an apocalyptic number.

213013010133300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213013010133300 is an abundant number, since it is smaller than the sum of its proper divisors (454380682464332).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213013010133300 is a wasteful number, since it uses less digits than its factorization.

213013010133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301761098 (or 301761091 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 213013010133300 its reverse (3331010310312), we get a palindrome (216344020443612).

The spelling of 213013010133300 in words is "two hundred thirteen trillion, thirteen billion, ten million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 181 195 260 300 325 362 390 543 650 724 780 905 975 1086 1300 1810 1950 2172 2353 2715 3620 3900 4525 4706 5430 7059 9050 9412 10860 11765 13575 14118 18100 23530 27150 28236 35295 47060 54300 58825 70590 117650 141180 176475 235300 352950 705900 301760887 603521774 905282661 1207043548 1508804435 1810565322 3017608870 3621130644 3922891531 4526413305 6035217740 7544022175 7845783062 9052826610 11768674593 15088044350 15691566124 18105653220 19614457655 22632066525 23537349186 30176088700 39228915310 45264133050 47074698372 54618720547 58843372965 78457830620 90528266100 98072288275 109237441094 117686745930 163856161641 196144576550 218474882188 235373491860 273093602735 294216864825 327712323282 392289153100 546187205470 588433729650 655424646564 710043367111 819280808205 1092374410940 1176867459300 1365468013675 1420086734222 1638561616410 2130130101333 2730936027350 2840173468444 3277123232820 3550216835555 4096404041025 4260260202666 5461872054700 7100433671110 8192808082050 8520520405332 10650650506665 14200867342220 16385616164100 17751084177775 21301301013330 35502168355550 42602602026660 53253252533325 71004336711100 106506505066650 213013010133300