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100220210101000 = 23531171153128047
BaseRepresentation
bin10110110010011001010110…
…000001011011101100001000
3111010211221212202110201102101
4112302121112001123230020
5101114001442241213000
6553052310125243144
730052446143130433
oct2662312601335410
9433757782421371
10100220210101000
1129a2a174959390
12b2a74217034b4
1343bc957522862
141aa698106a81a
15b8be57161e6a
hex5b265605bb08

100220210101000 has 128 divisors (see below), whose sum is σ = 255840457167360. Its totient is φ = 36442915968000.

The previous prime is 100220210100973. The next prime is 100220210101013. The reversal of 100220210101000 is 101012022001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 782618977 + ... + 782747023.

It is an arithmetic number, because the mean of its divisors is an integer number (1998753571620).

Almost surely, 2100220210101000 is an apocalyptic number.

100220210101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220210101000 is an abundant number, since it is smaller than the sum of its proper divisors (155620247066360).

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

100220210101000 is a wasteful number, since it uses less digits than its factorization.

100220210101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199232 (or 199218 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100220210101000 its reverse (101012022001), we get a palindrome (100321222123001).

The spelling of 100220210101000 in words is "one hundred trillion, two hundred twenty billion, two hundred ten million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 71153 128047 142306 256094 284612 355765 512188 569224 640235 711530 782683 1024376 1280470 1408517 1423060 1565366 1778825 2560940 2817034 2846120 3130732 3201175 3557650 3913415 5121880 5634068 6261464 6402350 7042585 7115300 7826830 8894125 11268136 12804700 14085170 14230600 15653660 16005875 17788250 19567075 25609400 28170340 31307320 32011750 35212925 35576500 39134150 56340680 64023500 70425850 71153000 78268300 97835375 128047000 140851700 156536600 176064625 195670750 281703400 352129250 391341500 704258500 782683000 1408517000 9110928191 18221856382 36443712764 45554640955 72887425528 91109281910 100220210101 182218563820 200440420202 227773204775 364437127640 400880840404 455546409550 501101050505 801761680808 911092819100 1002202101010 1138866023875 1822185638200 2004404202020 2277732047750 2505505252525 4008808404040 4555464095500 5011010505050 9110928191000 10022021010100 12527526262625 20044042020200 25055052525250 50110105050500 100220210101000