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100101202122210 = 235131189731342489
BaseRepresentation
bin10110110000101010100000…
…100110000001010111100010
3111010102120200212222000012020
4112300222200212001113202
5101110024230220402320
6552521505111242310
730041034051035232
oct2660524046012742
9433376625860166
10100101202122210
1129993754a68503
12b28834a079396
1343b166ca10ab3
141aa0cd1795cc2
15b88cde313940
hex5b0aa09815e2

100101202122210 has 64 divisors (see below), whose sum is σ = 242089739591040. Its totient is φ = 26488469629440.

The previous prime is 100101202122191. The next prime is 100101202122239. The reversal of 100101202122210 is 12221202101001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100101202122210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73892646 + ... + 75235134.

It is an arithmetic number, because the mean of its divisors is an integer number (3782652181110).

Almost surely, 2100101202122210 is an apocalyptic number.

100101202122210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100101202122210 is an abundant number, since it is smaller than the sum of its proper divisors (141988537468830).

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

100101202122210 is a wasteful number, since it uses less digits than its factorization.

100101202122210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361603.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100101202122210 its reverse (12221202101001), we get a palindrome (112322404223211).

The spelling of 100101202122210 in words is "one hundred trillion, one hundred one billion, two hundred two million, one hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 131 262 393 655 786 1310 1965 3930 18973 37946 56919 94865 113838 189730 284595 569190 1342489 2485463 2684978 4027467 4970926 6712445 7456389 8054934 12427315 13424890 14912778 20137335 24854630 37281945 40274670 74563890 175866059 351732118 527598177 879330295 1055196354 1758660590 2637990885 5275981770 25471043797 50942087594 76413131391 127355218985 152826262782 254710437970 382065656955 764131313910 3336706737407 6673413474814 10010120212221 16683533687035 20020240424442 33367067374070 50050601061105 100101202122210