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131417037830 = 25131759464723
BaseRepresentation
bin111101001100100010…
…0001101110000000110
3110120012200100020002102
41322121010031300012
54123120230202310
6140212215112102
712331431250661
oct1723104156006
9416180306072
10131417037830
1150808545681
1221577372632
13c51463a360
1465097746d8
1536424718a5
hex1e9910dc06

131417037830 has 32 divisors (see below), whose sum is σ = 269731988064. Its totient is φ = 45668906496.

The previous prime is 131417037823. The next prime is 131417037853. The reversal of 131417037830 is 38730714131.

It is a happy number.

It is a super-2 number, since 2×1314170378302 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29730152 + ... + 29734571.

It is an arithmetic number, because the mean of its divisors is an integer number (8429124627).

Almost surely, 2131417037830 is an apocalyptic number.

131417037830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131417037830 is an abundant number, since it is smaller than the sum of its proper divisors (138314950234).

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

131417037830 is a wasteful number, since it uses less digits than its factorization.

131417037830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59464760.

The product of its (nonzero) digits is 42336, while the sum is 38.

The spelling of 131417037830 in words is "one hundred thirty-one billion, four hundred seventeen million, thirty-seven thousand, eight hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 221 442 1105 2210 59464723 118929446 297323615 594647230 773041399 1010900291 1546082798 2021800582 3865206995 5054501455 7730413990 10109002910 13141703783 26283407566 65708518915 131417037830