Search a number
-
+
102220101102200 = 23523120807792383
BaseRepresentation
bin10111001111011111111000…
…110100001010101001111000
3111101221010221121012212010212
4113033133320310022221320
5101344233231340232300
61001223133254130252
730350105253143654
oct2717377064125170
9441833847185125
10102220101102200
112a630335221814
12b56ab35050988
1345064113124a3
141b3569d265a64
15bc3ea57ad935
hex5cf7f8d0aa78

102220101102200 has 96 divisors (see below), whose sum is σ = 245340342927360. Its totient is φ = 39567119740800.

The previous prime is 102220101102199. The next prime is 102220101102277. The reversal of 102220101102200 is 2201101022201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128607209 + ... + 129399591.

It is an arithmetic number, because the mean of its divisors is an integer number (2555628572160).

Almost surely, 2102220101102200 is an apocalyptic number.

102220101102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220101102200 is an abundant number, since it is smaller than the sum of its proper divisors (143120241825160).

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

102220101102200 is a wasteful number, since it uses less digits than its factorization.

102220101102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813237 (or 813228 counting only the distinct ones).

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

Adding to 102220101102200 its reverse (2201101022201), we get a palindrome (104421202124401).

The spelling of 102220101102200 in words is "one hundred two trillion, two hundred twenty billion, one hundred one million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 6200 20807 41614 83228 104035 166456 208070 416140 520175 645017 792383 832280 1040350 1290034 1584766 2080700 2580068 3169532 3225085 3961915 4161400 5160136 6339064 6450170 7923830 12900340 15847660 16125425 19809575 24563873 25800680 31695320 32250850 39619150 49127746 64501700 79238300 98255492 122819365 129003400 158476600 196510984 245638730 491277460 614096825 982554920 1228193650 2456387300 4912774600 16487113081 32974226162 65948452324 82435565405 131896904648 164871130810 329742261620 412177827025 511100505511 659484523240 824355654050 1022201011022 1648711308100 2044402022044 2555502527555 3297422616200 4088804044088 5111005055110 10222010110220 12777512637775 20444020220440 25555025275550 51110050551100 102220101102200