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131652251420 = 225318915111579
BaseRepresentation
bin111101010011100010…
…1011110111100011100
3110120211001221022110212
41322213011132330130
54124110434021140
6140251420351552
712340315446614
oct1724705367434
9416731838425
10131652251420
115091929a078
12216220a55b8
13c5512a36b1
14652cac1a44
153657e34765
hex1ea715ef1c

131652251420 has 96 divisors (see below), whose sum is σ = 288968601600. Its totient is φ = 50324313600.

The previous prime is 131652251399. The next prime is 131652251431. The reversal of 131652251420 is 24152256131.

It is a congruent number.

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, 83376191 + ... + 83377769.

It is an arithmetic number, because the mean of its divisors is an integer number (3010089600).

Almost surely, 2131652251420 is an apocalyptic number.

131652251420 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 131652251420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144484300800).

131652251420 is an abundant number, since it is smaller than the sum of its proper divisors (157316350180).

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

131652251420 is a wasteful number, since it uses less digits than its factorization.

131652251420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 131652251420 in words is "one hundred thirty-one billion, six hundred fifty-two million, two hundred fifty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 89 124 155 178 310 356 445 620 890 1511 1579 1780 2759 3022 3158 5518 6044 6316 7555 7895 11036 13795 15110 15790 27590 30220 31580 46841 48949 55180 93682 97898 134479 140531 187364 195796 234205 244745 268958 281062 468410 489490 537916 562124 672395 702655 936820 978980 1344790 1405310 2385869 2689580 2810620 4168849 4356461 4771738 8337698 8712922 9543476 11929345 16675396 17425844 20844245 21782305 23858690 41688490 43564610 47717380 73961939 83376980 87129220 147923878 212342341 295847756 369809695 424684682 739619390 849369364 1061711705 1479238780 2123423410 4246846820 6582612571 13165225142 26330450284 32913062855 65826125710 131652251420