Search a number
-
+
102223310200004 = 22731834433202937
BaseRepresentation
bin10111001111100010111000…
…000101111001110011000100
3111101221110020020200220202002
4113033202320011321303010
5101344311314402400004
61001224423532204432
730350250631055150
oct2717427005716304
9441843206626662
10102223310200004
112a631731719464
12b56b68b909718
134506803118026
141b358c553c060
15bc40e23a761e
hex5cf8b8179cc4

102223310200004 has 96 divisors (see below), whose sum is σ = 214066541961216. Its totient is φ = 41791396458240.

The previous prime is 102223310199947. The next prime is 102223310200019. The reversal of 102223310200004 is 400002013322201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30314024 + ... + 33516960.

It is an arithmetic number, because the mean of its divisors is an integer number (2229859812096).

Almost surely, 2102223310200004 is an apocalyptic number.

102223310200004 is a gapful number since it is divisible by the number (14) 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 102223310200004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107033270980608).

102223310200004 is an abundant number, since it is smaller than the sum of its proper divisors (111843231761212).

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

102223310200004 is a wasteful number, since it uses less digits than its factorization.

102223310200004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3203505 (or 3203503 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 102223310200004 its reverse (400002013322201), we get a palindrome (502225323522205).

The spelling of 102223310200004 in words is "one hundred two trillion, two hundred twenty-three billion, three hundred ten million, two hundred thousand, four".

Divisors: 1 2 4 7 14 28 31 62 83 124 166 217 332 434 443 581 868 886 1162 1772 2324 2573 3101 5146 6202 10292 12404 13733 18011 27466 36022 36769 54932 72044 73538 96131 147076 192262 257383 384524 514766 1029532 1139839 2279678 3202937 4559356 6405874 7978873 12811748 15957746 22420559 31915492 44841118 89682236 99291047 198582094 265843771 397164188 531687542 695037329 1063375084 1390074658 1418901091 1860906397 2780149316 2837802182 3721812794 5675604364 7443625588 8241156901 9932307637 16482313802 19864615274 32964627604 39729230548 43985933821 57688098307 87971867642 115376196614 117768790553 175943735284 230752393228 235537581106 307901536747 471075162212 615803073494 824381533871 1231606146988 1648763067742 3297526135484 3650832507143 7301665014286 14603330028572 25555827550001 51111655100002 102223310200004