Search a number
-
+
101102220002210 = 25725922915271339
BaseRepresentation
bin10110111111001110110001…
…111010001100001110100010
3111020222021111112201002112112
4112333032301322030032202
5101222424321310032320
6555005415122355322
730203252155444400
oct2677166172141642
9436867445632475
10101102220002210
112a23a235509739
12b40a354abbb42
134454b8ab36c9b
141ad7533082470
15ba4d7a0ddec5
hex5bf3b1e8c3a2

101102220002210 has 96 divisors (see below), whose sum is σ = 216223848792000. Its totient is φ = 33927293183616.

The previous prime is 101102220002153. The next prime is 101102220002213. The reversal of 101102220002210 is 12200022201101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (101102220002213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1015280 + ... + 14256059.

It is an arithmetic number, because the mean of its divisors is an integer number (2252331758250).

Almost surely, 2101102220002210 is an apocalyptic number.

101102220002210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101102220002210 is an abundant number, since it is smaller than the sum of its proper divisors (115121628789790).

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

101102220002210 is a wasteful number, since it uses less digits than its factorization.

101102220002210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15271648 (or 15271641 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101102220002210 its reverse (12200022201101), we get a palindrome (113302242203311).

The spelling of 101102220002210 in words is "one hundred one trillion, one hundred two billion, two hundred twenty million, two thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 35 49 59 70 98 118 229 245 295 413 458 490 590 826 1145 1603 2065 2290 2891 3206 4130 5782 8015 11221 13511 14455 16030 22442 27022 28910 56105 67555 94577 112210 135110 189154 472885 662039 945770 1324078 3310195 6620390 15271339 30542678 76356695 106899373 152713390 213798746 534496865 748295611 901009001 1068993730 1496591222 1802018002 3497136631 3741478055 4505045005 6307063007 6994273262 7482956110 9010090010 12614126014 17485683155 24479956417 31535315035 34971366310 44149441049 48959912834 63070630070 88298882098 122399782085 171359694919 206331061229 220747205245 244799564170 342719389838 412662122458 441494410490 856798474595 1031655306145 1444317428603 1713596949190 2063310612290 2888634857206 7221587143015 10110222000221 14443174286030 20220444000442 50551110001105 101102220002210