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100220212001100 = 223521761322147901
BaseRepresentation
bin10110110010011001010110…
…001000101011100101001100
3111010211221212220001020212110
4112302121112020223211030
5101114001443233013400
6553052310234104020
730052446165233202
oct2662312610534514
9433757786036773
10100220212001100
1129a2a175a36a14
12b2a742227b010
1343bc957a39689
141aa6981403072
15b8be573d9e50
hex5b265622b94c

100220212001100 has 144 divisors (see below), whose sum is σ = 312060806892576. Its totient is φ = 24740958720000.

The previous prime is 100220212001051. The next prime is 100220212001177. The reversal of 100220212001100 is 1100212022001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160762851 + ... + 161385050.

It is an arithmetic number, because the mean of its divisors is an integer number (2167088936754).

Almost surely, 2100220212001100 is an apocalyptic number.

100220212001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220212001100 is an abundant number, since it is smaller than the sum of its proper divisors (211840594891476).

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

100220212001100 is a wasteful number, since it uses less digits than its factorization.

100220212001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322147996 (or 322147989 counting only the distinct ones).

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

Adding to 100220212001100 its reverse (1100212022001), we get a palindrome (101320424023101).

The spelling of 100220212001100 in words is "one hundred trillion, two hundred twenty billion, two hundred twelve million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 61 68 75 85 100 102 122 150 170 183 204 244 255 300 305 340 366 425 510 610 732 850 915 1020 1037 1220 1275 1525 1700 1830 2074 2550 3050 3111 3660 4148 4575 5100 5185 6100 6222 9150 10370 12444 15555 18300 20740 25925 31110 51850 62220 77775 103700 155550 311100 322147901 644295802 966443703 1288591604 1610739505 1932887406 3221479010 3865774812 4832218515 5476514317 6442958020 8053697525 9664437030 10953028634 16107395050 16429542951 19328874060 19651021961 21906057268 24161092575 27382571585 32214790100 32859085902 39302043922 48322185150 54765143170 58953065883 65718171804 78604087844 82147714755 96644370300 98255109805 109530286340 117906131766 136912857925 164295429510 196510219610 235812263532 273825715850 294765329415 328590859020 334067373337 393020439220 410738573775 491275549025 547651431700 589530658830 668134746674 821477147550 982551098050 1002202120011 1179061317660 1336269493348 1473826647075 1642954295100 1670336866685 1965102196100 2004404240022 2947653294150 3340673733370 4008808480044 5011010600055 5895306588300 6681347466740 8351684333425 10022021200110 16703368666850 20044042400220 25055053000275 33406737333700 50110106000550 100220212001100