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102320231220 = 223253122818039
BaseRepresentation
bin101111101001011000…
…0101101001100110100
3100210002212120022010100
41133102300231030310
53134022434344340
6115001045354100
710251406421004
oct1372260551464
9323085508110
10102320231220
113a437115169
12179b6a08930
13985841931c
144d49278004
1529dcca5830
hex17d2c2d334

102320231220 has 144 divisors (see below), whose sum is σ = 320563676160. Its totient is φ = 26390361600.

The previous prime is 102320231197. The next prime is 102320231231. The reversal of 102320231220 is 22132023201.

102320231220 is a `hidden beast` number, since 10 + 2 + 320 + 2 + 312 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102320231193 and 102320231202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12723961 + ... + 12731999.

It is an arithmetic number, because the mean of its divisors is an integer number (2226136640).

Almost surely, 2102320231220 is an apocalyptic number.

102320231220 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 102320231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160281838080).

102320231220 is an abundant number, since it is smaller than the sum of its proper divisors (218243444940).

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

102320231220 is a wasteful number, since it uses less digits than its factorization.

102320231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10366 (or 10361 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102320231220 its reverse (22132023201), we get a palindrome (124452254421).

The spelling of 102320231220 in words is "one hundred two billion, three hundred twenty million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2281 2790 4562 5580 6843 8039 9124 11405 13686 16078 20529 22810 24117 27372 32156 34215 40195 41058 45620 48234 68430 70711 72351 80390 82116 96468 102645 120585 136860 141422 144702 160780 205290 212133 241170 249209 282844 289404 353555 361755 410580 424266 482340 498418 636399 707110 723510 747627 848532 996836 1060665 1246045 1272798 1414220 1447020 1495254 2121330 2242881 2492090 2545596 2990508 3181995 3738135 4242660 4485762 4984180 6363990 7476270 8971524 11214405 12727980 14952540 18336959 22428810 36673918 44857620 55010877 73347836 91684795 110021754 165032631 183369590 220043508 275054385 330065262 366739180 550108770 568445729 660130524 825163155 1100217540 1136891458 1650326310 1705337187 2273782916 2842228645 3300652620 3410674374 5116011561 5684457290 6821348748 8526685935 10232023122 11368914580 17053371870 20464046244 25580057805 34106743740 51160115610 102320231220