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1212301132100 = 2252175897120929
BaseRepresentation
bin10001101001000010110…
…001110100000101000100
311021220011100110100220122
4101221002301310011010
5124330243042211400
62324531244321112
7153404644412642
oct21510261640504
94256140410818
101212301132100
11428152425773
12176b51243198
138a41cc556b6
1442966132192
1521804ae0685
hex11a42c74144

1212301132100 has 72 divisors (see below), whose sum is σ = 2785935516840. Its totient is φ = 456314552320.

The previous prime is 1212301132051. The next prime is 1212301132109. The reversal of 1212301132100 is 12311032121.

It can be written as a sum of positive squares in 12 ways, for example, as 2270331904 + 1210030800196 = 47648^2 + 1100014^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (1212301132109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9964436 + ... + 10085364.

It is an arithmetic number, because the mean of its divisors is an integer number (38693548845).

Almost surely, 21212301132100 is an apocalyptic number.

1212301132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1212301132100 is an abundant number, since it is smaller than the sum of its proper divisors (1573634384740).

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

1212301132100 is a wasteful number, since it uses less digits than its factorization.

1212301132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126857 (or 126850 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1212301132100 its reverse (12311032121), we get a palindrome (1224612164221).

The spelling of 1212301132100 in words is "one trillion, two hundred twelve billion, three hundred one million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 5897 11794 23588 29485 58970 100249 117940 120929 147425 200498 241858 294850 400996 483716 501245 589700 604645 1002490 1209290 2004980 2055793 2418580 2506225 3023225 4111586 5012450 6046450 8223172 10024900 10278965 12092900 20557930 41115860 51394825 102789650 205579300 713118313 1426236626 2852473252 3565591565 7131183130 12123011321 14262366260 17827957825 24246022642 35655915650 48492045284 60615056605 71311831300 121230113210 242460226420 303075283025 606150566050 1212301132100