Search a number
-
+
102223223132100 = 223527471035696283
BaseRepresentation
bin10111001111100010110010…
…111001110000111111000100
3111101221110000011212102000220
4113033202302321300333010
5101344311130110211400
61001224411142104340
730350245523023650
oct2717426271607704
9441843004772026
10102223223132100
112a631697560014
12b56b66671b0b0
1345067bb081865
141b358b7b55a60
15bc40d99097a0
hex5cf8b2e70fc4

102223223132100 has 144 divisors (see below), whose sum is σ = 345209999812608. Its totient is φ = 22868173906560.

The previous prime is 102223223132047. The next prime is 102223223132117. The reversal of 102223223132100 is 1231322322201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517749442 + ... + 517946841.

Almost surely, 2102223223132100 is an apocalyptic number.

102223223132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102223223132100 is an abundant number, since it is smaller than the sum of its proper divisors (242986776680508).

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

102223223132100 is a wasteful number, since it uses less digits than its factorization.

102223223132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035696354 (or 1035696347 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102223223132100 its reverse (1231322322201), we get a palindrome (103454545454301).

The spelling of 102223223132100 in words is "one hundred two trillion, two hundred twenty-three billion, two hundred twenty-three million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 47 50 60 70 75 84 94 100 105 140 141 150 175 188 210 235 282 300 329 350 420 470 525 564 658 700 705 940 987 1050 1175 1316 1410 1645 1974 2100 2350 2820 3290 3525 3948 4700 4935 6580 7050 8225 9870 14100 16450 19740 24675 32900 49350 98700 1035696283 2071392566 3107088849 4142785132 5178481415 6214177698 7249873981 10356962830 12428355396 14499747962 15535444245 20713925660 21749621943 25892407075 28999495924 31070888490 36249369905 43499243886 48677725301 51784814150 62141776980 72498739810 77677221225 86998487772 97355450602 103569628300 108748109715 144997479620 146033175903 155354442450 181246849525 194710901204 217496219430 243388626505 292066351806 310708884900 340744077107 362493699050 434992438860 486777253010 543740548575 584132703612 681488154214 724987398100 730165879515 973554506020 1022232231321 1087481097150 1216943132525 1362976308428 1460331759030 1703720385535 2044464462642 2174962194300 2433886265050 2920663518060 3407440771070 3650829397575 4088928925284 4867772530100 5111161156605 6814881542140 7301658795150 8518601927675 10222322313210 14603317590300 17037203855350 20444644626420 25555805783025 34074407710700 51111611566050 102223223132100