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100212212011002 = 23731317920925647
BaseRepresentation
bin10110110010010001111001…
…010011001000111111111010
3111010211012020100122122112220
4112302101321103020333322
5101113334102233323002
6553044504334344510
730052044014364000
oct2662217123107772
9433735210578486
10100212212011002
1129a26840175a53
12b2a596b05b136
1343bbc814cac20
141aa6422b3ca70
15b8bb39de27bc
hex5b24794c8ffa

100212212011002 has 128 divisors (see below), whose sum is σ = 253116638208000. Its totient is φ = 26281941755328.

The previous prime is 100212212010979. The next prime is 100212212011061. The reversal of 100212212011002 is 200110212212001.

It is a super-2 number, since 2×1002122120110022 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5673858 + ... + 15251789.

It is an arithmetic number, because the mean of its divisors is an integer number (1977473736000).

Almost surely, 2100212212011002 is an apocalyptic number.

100212212011002 is an abundant number, since it is smaller than the sum of its proper divisors (152904426196998).

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

100212212011002 is a wasteful number, since it uses less digits than its factorization.

100212212011002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20925865 (or 20925851 counting only the distinct ones).

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

Adding to 100212212011002 its reverse (200110212212001), we get a palindrome (300322424223003).

The spelling of 100212212011002 in words is "one hundred trillion, two hundred twelve billion, two hundred twelve million, eleven thousand, two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 179 182 273 294 343 358 537 546 637 686 1029 1074 1253 1274 1911 2058 2327 2506 3759 3822 4459 4654 6981 7518 8771 8918 13377 13962 16289 17542 26313 26754 32578 48867 52626 61397 97734 114023 122794 184191 228046 342069 368382 684138 798161 1596322 2394483 4788966 20925647 41851294 62776941 125553882 146479529 272033411 292959058 439438587 544066822 816100233 878877174 1025356703 1632200466 1904233877 2050713406 3076070109 3745690813 3808467754 5712701631 6152140218 7177496921 7491381626 11237072439 11425403262 13329637139 14354993842 21532490763 22474144878 26219835691 26659274278 39988911417 43064981526 48693980569 52439671382 78659507073 79977822834 93307459973 97387961138 146081941707 157319014146 183538849837 186614919946 279922379919 292163883414 340857863983 367077699674 550616549511 559844759838 681715727966 1022573591949 1101233099022 1284771948859 2045147183898 2386005047881 2569543897718 3854315846577 4772010095762 7158015143643 7708631693154 14316030287286 16702035335167 33404070670334 50106106005501 100212212011002