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102302211132312 = 23323685972701723
BaseRepresentation
bin10111010000101100010110…
…111101000100101110011000
3111102012222212222201120022020
4113100230112331010232120
5101402104412022213222
61001324553105054440
730356043105655602
oct2720542675045630
9442188788646266
10102302211132312
112a662140197734
12b582a2b627420
134511098637619
141b3964c33c172
15bc61ae12665c
hex5d0b16f44b98

102302211132312 has 64 divisors (see below), whose sum is σ = 266879322650880. Its totient is φ = 32617608726912.

The previous prime is 102302211132311. The next prime is 102302211132337. The reversal of 102302211132312 is 213231112203201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102302211132311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36514683 + ... + 39216405.

It is an arithmetic number, because the mean of its divisors is an integer number (4169989416420).

Almost surely, 2102302211132312 is an apocalyptic number.

102302211132312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102302211132312 is an abundant number, since it is smaller than the sum of its proper divisors (164577111518568).

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

102302211132312 is a wasteful number, since it uses less digits than its factorization.

102302211132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770352 (or 2770348 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 102302211132312 its reverse (213231112203201), we get a palindrome (315533323335513).

The spelling of 102302211132312 in words is "one hundred two trillion, three hundred two billion, two hundred eleven million, one hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 68597 137194 205791 274388 411582 548776 823164 1577731 1646328 2701723 3155462 4733193 5403446 6310924 8105169 9466386 10806892 12621848 16210338 18932772 21613784 32420676 37865544 62139629 64841352 124279258 186418887 248558516 372837774 497117032 745675548 1491351096 185330092631 370660185262 555990277893 741320370524 1111980555786 1482640741048 2223961111572 4262592130513 4447922223144 8525184261026 12787776391539 17050368522052 25575552783078 34100737044104 51151105566156 102302211132312