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103010312322 = 232411311497151
BaseRepresentation
bin101111111101111100…
…1001010000010000010
3100211212222002001102200
41133323321022002002
53141431114443242
6115153340254030
710304456131161
oct1377371120202
9324788061380
10103010312322
113a7606aa325
1217b69b41316
139938394a38
144db2b8d3d8
152a2d66904c
hex17fbe4a082

103010312322 has 96 divisors (see below), whose sum is σ = 231956524800. Its totient is φ = 33015840000.

The previous prime is 103010312311. The next prime is 103010312371. The reversal of 103010312322 is 223213010301.

103010312322 is a `hidden beast` number, since 1 + 0 + 30 + 1 + 0 + 312 + 322 = 666.

It is a super-2 number, since 2×1030103123222 (a number of 23 digits) contains 22 as substring.

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 = 103010312295 and 103010312304.

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, 14401447 + ... + 14408597.

It is an arithmetic number, because the mean of its divisors is an integer number (2416213800).

Almost surely, 2103010312322 is an apocalyptic number.

103010312322 is an abundant number, since it is smaller than the sum of its proper divisors (128946212478).

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

103010312322 is a wasteful number, since it uses less digits than its factorization.

103010312322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7480 (or 7477 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103010312322 its reverse (223213010301), we get a palindrome (326223322623).

The spelling of 103010312322 in words is "one hundred three billion, ten million, three hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 41 82 123 131 149 246 262 298 369 393 447 738 786 894 1179 1341 2358 2682 5371 6109 7151 10742 12218 14302 16113 18327 19519 21453 32226 36654 39038 42906 48339 54981 58557 64359 96678 109962 117114 128718 175671 293191 351342 586382 800279 879573 936781 1065499 1600558 1759146 1873562 2130998 2400837 2638719 2810343 3196497 4801674 5277438 5620686 6392994 7202511 8431029 9589491 14405022 16862058 19178982 38408021 43685459 76816042 87370918 115224063 131056377 139580369 230448126 262112754 279160738 345672189 393169131 418741107 691344378 786338262 837482214 1256223321 2512446642 5722795129 11445590258 17168385387 34336770774 51505156161 103010312322