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131998583724 = 223717479192977
BaseRepresentation
bin111101011101110111…
…0101000101110101100
3110121201012121211002020
41322323232220232230
54130313114134344
6140350031430140
712352022310030
oct1727356505654
9417635554066
10131998583724
1150a86839717
12216ba085350
13c5a7c74357
146562ab61c0
153678546719
hex1ebbba8bac

131998583724 has 96 divisors (see below), whose sum is σ = 373481902080. Its totient is φ = 35421130752.

The previous prime is 131998583659. The next prime is 131998583747. The reversal of 131998583724 is 427385899131.

It is a happy number.

It is a super-2 number, since 2×1319985837242 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 587524 + ... + 780500.

It is an arithmetic number, because the mean of its divisors is an integer number (3890436480).

Almost surely, 2131998583724 is an apocalyptic number.

131998583724 is a gapful number since it is divisible by the number (14) 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 131998583724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186740951040).

131998583724 is an abundant number, since it is smaller than the sum of its proper divisors (241483318356).

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

131998583724 is a wasteful number, since it uses less digits than its factorization.

131998583724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193487 (or 193485 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 60.

The spelling of 131998583724 in words is "one hundred thirty-one billion, nine hundred ninety-eight million, five hundred eighty-three thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 479 714 958 1428 1437 1916 2874 3353 5748 6706 8143 10059 13412 16286 20118 24429 32572 40236 48858 57001 97716 114002 171003 192977 228004 342006 385954 578931 684012 771908 1157862 1350839 2315724 2701678 3280609 4052517 5403356 6561218 8105034 9841827 13122436 16210068 19683654 22964263 39367308 45928526 68892789 91857052 92435983 137785578 184871966 275571156 277307949 369743932 554615898 647051881 1109231796 1294103762 1571411711 1941155643 2588207524 3142823422 3882311286 4714235133 6285646844 7764622572 9428470266 10999881977 18856940532 21999763954 32999645931 43999527908 65999291862 131998583724