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102000202122200 = 2352211223934787
BaseRepresentation
bin10111001100010011000101…
…110100001000001111011000
3111101011010100110111020210012
4113030103011310020033120
5101332132403220402300
61000534125043541052
730325162044514004
oct2714230564101730
9441133313436705
10102000202122200
112a556051a5a3a8
12b5343a538a788
1344bb768528545
141b28b9c477704
15bbd3d53c5435
hex5cc4c5d083d8

102000202122200 has 144 divisors (see below), whose sum is σ = 238429103388840. Its totient is φ = 40581267417600.

The previous prime is 102000202122199. The next prime is 102000202122241. The reversal of 102000202122200 is 2221202000201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21307748207 + ... + 21307752993.

Almost surely, 2102000202122200 is an apocalyptic number.

102000202122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102000202122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119214551694420).

102000202122200 is an abundant number, since it is smaller than the sum of its proper divisors (136428901266640).

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

102000202122200 is a wasteful number, since it uses less digits than its factorization.

102000202122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7618 (or 7398 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102000202122200 its reverse (2221202000201), we get a palindrome (104221404122401).

The spelling of 102000202122200 in words is "one hundred two trillion, two hundred two million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 211 422 844 1055 1688 2110 2393 4220 4786 4787 5275 8440 9572 9574 10550 11965 19144 19148 21100 23930 23935 38296 42200 44521 47860 47870 59825 89042 95720 95740 119650 119675 178084 191480 222605 239300 239350 356168 445210 478600 478700 504923 890420 957400 1009846 1010057 1113025 1780840 2019692 2020114 2226050 2524615 4039384 4040228 4452100 5049230 5050285 8080456 8904200 10098460 10100570 11455291 12623075 20196920 20201140 22910582 25246150 25251425 40402280 45821164 50492300 50502850 57276455 91642328 100984600 101005700 106538753 114552910 202011400 213077506 213122027 229105820 286382275 426155012 426244054 458211640 532693765 572764550 852310024 852488108 1065387530 1065610135 1145529100 1704976216 2130775060 2131220270 2291058200 2417066401 2663468825 4261550120 4262440540 4834132802 5326937650 5328050675 8524881080 9668265604 10653875300 10656101350 12085332005 19336531208 21307750600 21312202700 24170664010 42624405400 48341328020 60426660025 96682656040 120853320050 241706640100 483413280200 510001010611 1020002021222 2040004042444 2550005053055 4080008084888 5100010106110 10200020212220 12750025265275 20400040424440 25500050530550 51000101061100 102000202122200