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102100320322 = 271113437915013
BaseRepresentation
bin101111100010110100…
…1110100000001000010
3100202112112202200002021
41133011221310001002
53133100140222242
6114523152112054
710243066255240
oct1370551640102
9322475680067
10102100320322
113a333a72920
121795523562a
1398219b0330
144d27d91790
1529c8816b67
hex17c5a74042

102100320322 has 128 divisors (see below), whose sum is σ = 213088296960. Its totient is φ = 35409104640.

The previous prime is 102100320319. The next prime is 102100320331. The reversal of 102100320322 is 223023001201.

It is a junction number, because it is equal to n+sod(n) for n = 102100320296 and 102100320305.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6793288 + ... + 6808300.

It is an arithmetic number, because the mean of its divisors is an integer number (1664752320).

Almost surely, 2102100320322 is an apocalyptic number.

102100320322 is an abundant number, since it is smaller than the sum of its proper divisors (110987976638).

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

102100320322 is a wasteful number, since it uses less digits than its factorization.

102100320322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15168.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 102100320322 its reverse (223023001201), we get a palindrome (325123321523).

The spelling of 102100320322 in words is "one hundred two billion, one hundred million, three hundred twenty thousand, three hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 43 77 79 86 91 143 154 158 182 286 301 473 553 559 602 869 946 1001 1027 1106 1118 1738 2002 2054 3311 3397 3913 6083 6149 6622 6794 7189 7826 11297 12166 12298 14378 15013 22594 23779 30026 37367 43043 44161 47558 74734 79079 86086 88322 105091 158158 165143 195169 210182 261569 309127 330286 390338 485771 523138 618254 645559 971542 1156001 1186027 1291118 1366183 2146859 2312002 2372054 2732366 3400397 4293718 4518913 6800794 7101149 8302189 8392267 9037826 13046297 14202298 15028013 15418351 16604378 16784534 26092594 30056026 30836702 49708043 50999161 58745869 91324079 92314937 99416086 101998322 107928457 117491738 169601861 182648158 184629874 215856914 339203722 356994127 560990771 646204559 662989093 713988254 1121981542 1187213027 1292409118 1325978186 2374426054 3926935397 4640923651 7292880023 7853870794 9281847302 14585760046 51050160161 102100320322