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100012100202210 = 235710922319593043
BaseRepresentation
bin10110101111010111100001…
…101101001010111011100010
3111010010001201012222111020010
4112233113201231022323202
5101102044240122432320
6552412531412025350
730031431035152560
oct2657274155127342
9433101635874203
10100012100202210
1129959991288199
12b273022002256
1343a613cc92301
141a9a87bc74a30
15b86826c34ae0
hex5af5e1b4aee2

100012100202210 has 128 divisors (see below), whose sum is σ = 278077019996160. Its totient is φ = 22548613199616.

The previous prime is 100012100202149. The next prime is 100012100202211. The reversal of 100012100202210 is 12202001210001.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100012100202211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4692052 + ... + 14900991.

It is an arithmetic number, because the mean of its divisors is an integer number (2172476718720).

Almost surely, 2100012100202210 is an apocalyptic number.

100012100202210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100012100202210 is an abundant number, since it is smaller than the sum of its proper divisors (178064919793950).

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

100012100202210 is a wasteful number, since it uses less digits than its factorization.

100012100202210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19593392.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100012100202210 its reverse (12202001210001), we get a palindrome (112214101412211).

The spelling of 100012100202210 in words is "one hundred trillion, twelve billion, one hundred million, two hundred two thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 109 210 218 223 327 446 545 654 669 763 1090 1115 1338 1526 1561 1635 2230 2289 3122 3270 3345 3815 4578 4683 6690 7630 7805 9366 11445 15610 22890 23415 24307 46830 48614 72921 121535 145842 170149 243070 340298 364605 510447 729210 850745 1020894 1701490 2552235 5104470 19593043 39186086 58779129 97965215 117558258 137151301 195930430 274302602 293895645 411453903 587791290 685756505 822907806 1371513010 2057269515 2135641687 4114539030 4271283374 4369248589 6406925061 8738497178 10678208435 12813850122 13107745767 14949491809 21356416870 21846242945 26215491534 29898983618 30584740123 32034625305 43692485890 44848475427 61169480246 64069250610 65538728835 74747459045 89696950854 91754220369 131077457670 149494918090 152923700615 183508440738 224242377135 305847401230 448484754270 458771101845 476248096201 917542203690 952496192402 1428744288603 2381240481005 2857488577206 3333736673407 4762480962010 6667473346814 7143721443015 10001210020221 14287442886030 16668683367035 20002420040442 33337366734070 50006050101105 100012100202210