Search a number
-
+
1010012102000 = 24531145909641
BaseRepresentation
bin11101011001010010110…
…10011001110101110000
310120120000110221220102122
432230221122121311300
5113022001044231000
62051554304333412
7132654020133536
oct16545132316560
93516013856378
101010012102000
1135a386556360
121438b7014268
1374322632555
1436c5603a156
151b415715085
hexeb29699d70

1010012102000 has 80 divisors (see below), whose sum is σ = 2664228344544. Its totient is φ = 367277120000.

The previous prime is 1010012101867. The next prime is 1010012102027. The reversal of 1010012102000 is 2012100101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22932821 + ... + 22976820.

Almost surely, 21010012102000 is an apocalyptic number.

1010012102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010012102000 is an abundant number, since it is smaller than the sum of its proper divisors (1654216242544).

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

1010012102000 is a wasteful number, since it uses less digits than its factorization.

1010012102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45909675 (or 45909659 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1010012102000 its reverse (2012100101), we get a palindrome (1012024202101).

The spelling of 1010012102000 in words is "one trillion, ten billion, twelve million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 45909641 91819282 183638564 229548205 367277128 459096410 505006051 734554256 918192820 1010012102 1147741025 1836385640 2020024204 2295482050 2525030255 3672771280 4040048408 4590964100 5050060510 5738705125 8080096816 9181928200 10100121020 11477410250 12625151275 18363856400 20200242040 22954820500 25250302550 40400484080 45909641000 50500605100 63125756375 91819282000 101001210200 126251512750 202002420400 252503025500 505006051000 1010012102000