Search a number
-
+
100101102120210 = 235197557105128933
BaseRepresentation
bin10110110000101010011010…
…101000100010110100010010
3111010102120102220210101020110
4112300222122220202310102
5101110024024120321320
6552521451140022150
730041031425034222
oct2660523250426422
9433376386711213
10100101102120210
1129993703575524
12b288320691956
1343b1655099409
141aa0cc23a4082
15b88cd565d5e0
hex5b0a9aa22d12

100101102120210 has 128 divisors (see below), whose sum is σ = 242134181777664. Its totient is φ = 26484306508800.

The previous prime is 100101102120203. The next prime is 100101102120287. The reversal of 100101102120210 is 12021201101001.

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, 3459740904 + ... + 3459769836.

It is an arithmetic number, because the mean of its divisors is an integer number (1891673295138).

Almost surely, 2100101102120210 is an apocalyptic number.

100101102120210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100101102120210 is an abundant number, since it is smaller than the sum of its proper divisors (142033079657454).

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

100101102120210 is a wasteful number, since it uses less digits than its factorization.

100101102120210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30748.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100101102120210 its reverse (12021201101001), we get a palindrome (112122303221211).

The spelling of 100101102120210 in words is "one hundred trillion, one hundred one billion, one hundred two million, one hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 197 394 557 591 985 1051 1114 1182 1671 1970 2102 2785 2955 3153 3342 5255 5570 5910 6306 8355 10510 15765 16710 28933 31530 57866 86799 109729 144665 173598 207047 219458 289330 329187 414094 433995 548645 585407 621141 658374 867990 1035235 1097290 1170814 1242282 1645935 1756221 2070470 2927035 3105705 3291870 3512442 5699801 5854070 6211410 8781105 11399602 16115681 17099403 17562210 28499005 30408583 32231362 34198806 48347043 56998010 60817166 80578405 85497015 91225749 96694086 115325179 152042915 161156810 170994030 182451498 230650358 241735215 304085830 345975537 456128745 483470430 576625895 691951074 912257490 1153251790 1729877685 3174789157 3459755370 5990490851 6349578314 9524367471 11980981702 15873945785 16937580731 17971472553 19048734942 29952454255 31747891570 33875161462 35942945106 47621837355 50812742193 59904908510 84687903655 89857362765 95243674710 101625484386 169375807310 179714725530 254063710965 508127421930 3336703404007 6673406808014 10010110212021 16683517020035 20020220424042 33367034040070 50050551060105 100101102120210