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100202002012000 = 255373578642929
BaseRepresentation
bin10110110010001000011000…
…101111000101011101100000
3111010210012212210201221221201
4112302020120233011131200
5101113202200003341000
6553040055250530544
730051233010001030
oct2662103057053540
9433705783657851
10100202002012000
1129a22480969649
12b2a399b896a54
1343bb0151651b5
141aa5b34b538c0
15b8b73d8a296a
hex5b2218bc5760

100202002012000 has 96 divisors (see below), whose sum is σ = 281367221728320. Its totient is φ = 34354972108800.

The previous prime is 100202002011983. The next prime is 100202002012009. The reversal of 100202002012000 is 210200202001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202002012009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1789293465 + ... + 1789349464.

It is an arithmetic number, because the mean of its divisors is an integer number (2930908559670).

Almost surely, 2100202002012000 is an apocalyptic number.

100202002012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202002012000 is an abundant number, since it is smaller than the sum of its proper divisors (181165219716320).

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

100202002012000 is an equidigital number, since it uses as much as digits as its factorization.

100202002012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578642961 (or 3578642943 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100202002012000 its reverse (210200202001), we get a palindrome (100412202214001).

The spelling of 100202002012000 in words is "one hundred trillion, two hundred two billion, two million, twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 3578642929 7157285858 14314571716 17893214645 25050500503 28629143432 35786429290 50101001006 57258286864 71572858580 89466073225 100202002012 114516573728 125252502515 143145717160 178932146450 200404004024 250505005030 286291434320 357864292900 400808008048 447330366125 501010010060 572582868640 626262512575 715728585800 801616016096 894660732250 1002020020120 1252525025150 1431457171600 1789321464500 2004040040240 2505050050300 2862914343200 3131312562875 3578642929000 4008080080480 5010100100600 6262625125750 7157285858000 10020200201200 12525250251500 14314571716000 20040400402400 25050500503000 50101001006000 100202002012000