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102513154140 = 2232531173310601
BaseRepresentation
bin101111101111001000…
…0101001100001011100
3100210121022120210121200
41133132100221201130
53134421331413030
6115032140355500
710256241301335
oct1373620514134
9323538523550
10102513154140
113a526003aa1
1217a4b545b90
1398893962b7
144d66b3728c
1529eebb2d60
hex17de42985c

102513154140 has 144 divisors (see below), whose sum is σ = 321202941696. Its totient is φ = 26437248000.

The previous prime is 102513154069. The next prime is 102513154147. The reversal of 102513154140 is 41451315201.

102513154140 is a `hidden beast` number, since 1 + 0 + 2 + 51 + 31 + 541 + 40 = 666.

102513154140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102513154147) by changing a digit.

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, 9664840 + ... + 9675440.

It is an arithmetic number, because the mean of its divisors is an integer number (2230575984).

Almost surely, 2102513154140 is an apocalyptic number.

102513154140 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 102513154140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160601470848).

102513154140 is an abundant number, since it is smaller than the sum of its proper divisors (218689787556).

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

102513154140 is a wasteful number, since it uses less digits than its factorization.

102513154140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12380 (or 12375 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 102513154140 its reverse (41451315201), we get a palindrome (143964469341).

The spelling of 102513154140 in words is "one hundred two billion, five hundred thirteen million, one hundred fifty-four thousand, one hundred forty".

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 1733 1860 2790 3466 5199 5580 6932 8665 10398 10601 15597 17330 20796 21202 25995 31194 31803 34660 42404 51990 53005 53723 62388 63606 77985 95409 103980 106010 107446 127212 155970 159015 161169 190818 212020 214892 268615 311940 318030 322338 328631 381636 477045 483507 537230 636060 644676 657262 805845 954090 967014 985893 1074460 1314524 1611690 1643155 1908180 1934028 1971786 2417535 2957679 3223380 3286310 3943572 4835070 4929465 5915358 6572620 9670140 9858930 11830716 14788395 18371533 19717860 29576790 36743066 55114599 59153580 73486132 91857665 110229198 165343797 183715330 220458396 275572995 330687594 367430660 551145990 569517523 661375188 826718985 1102291980 1139035046 1653437970 1708552569 2278070092 2847587615 3306875940 3417105138 5125657707 5695175230 6834210276 8542762845 10251315414 11390350460 17085525690 20502630828 25628288535 34171051380 51256577070 102513154140