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131403300402340 = 225174912311340601
BaseRepresentation
bin11101111000001010110111…
…000010101111010010100100
3122020021000212221021220010101
4131320022313002233102210
5114210402424400333330
61143245502015433444
736451401165261001
oct3570126702572244
9566230787256111
10131403300402340
113896191044465a
12128a2a0b525884
13584237cb82545
142463d4cc4a8a8
15102d17c33a4ca
hex7782b70af4a4

131403300402340 has 96 divisors (see below), whose sum is σ = 292901719880448. Its totient is φ = 49347217920000.

The previous prime is 131403300402331. The next prime is 131403300402379. The reversal of 131403300402340 is 43204003304131.

It is a junction number, because it is equal to n+sod(n) for n = 131403300402299 and 131403300402308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385628040 + ... + 385968640.

It is an arithmetic number, because the mean of its divisors is an integer number (3051059582088).

Almost surely, 2131403300402340 is an apocalyptic number.

131403300402340 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 131403300402340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146450859940224).

131403300402340 is an abundant number, since it is smaller than the sum of its proper divisors (161498419478108).

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

131403300402340 is a wasteful number, since it uses less digits than its factorization.

131403300402340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343429 (or 343427 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 131403300402340 its reverse (43204003304131), we get a palindrome (174607303706471).

The spelling of 131403300402340 in words is "one hundred thirty-one trillion, four hundred three billion, three hundred million, four hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 491 982 1964 2311 2455 4622 4910 8347 9244 9820 11555 16694 23110 33388 39287 41735 46220 78574 83470 157148 166940 196435 340601 392870 681202 785740 1134701 1362404 1703005 2269402 3406010 4538804 5673505 5790217 6812020 11347010 11580434 19289917 22694020 23160868 28951085 38579834 57902170 77159668 96449585 115804340 167235091 192899170 334470182 385798340 668940364 787128911 836175455 1574257822 1672350910 2842996547 3148515644 3344701820 3935644555 5685993094 7871289110 11371986188 13381191487 14214982735 15742578220 26762382974 28429965470 53524765948 56859930940 66905957435 133811914870 267623829740 386480295301 772960590602 1545921181204 1932401476505 3864802953010 6570165020117 7729605906020 13140330040234 26280660080468 32850825100585 65701650201170 131403300402340