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131703066 = 232113143499
BaseRepresentation
bin1111101100110…
…10000100011010
3100011211012122100
413312122010122
5232203444231
621022504230
73156312645
oct766320432
9304735570
10131703066
1168385510
1238135076
1321393a11
14136c4a5c
15b8681e6
hex7d9a11a

131703066 has 96 divisors (see below), whose sum is σ = 329472000. Its totient is φ = 37648800.

The previous prime is 131703059. The next prime is 131703067. The reversal of 131703066 is 660307131.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131703067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263685 + ... + 264183.

It is an arithmetic number, because the mean of its divisors is an integer number (3432000).

Almost surely, 2131703066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131703066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164736000).

131703066 is an abundant number, since it is smaller than the sum of its proper divisors (197768934).

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

131703066 is a wasteful number, since it uses less digits than its factorization.

131703066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 131703066 is about 11476.1956239862. The cubic root of 131703066 is about 508.7822619380.

The spelling of 131703066 in words is "one hundred thirty-one million, seven hundred three thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 22 31 33 43 62 66 86 93 99 129 186 198 258 279 341 387 473 499 558 682 774 946 998 1023 1333 1419 1497 2046 2666 2838 2994 3069 3999 4257 4491 5489 6138 7998 8514 8982 10978 11997 14663 15469 16467 21457 23994 29326 30938 32934 42914 43989 46407 49401 64371 87978 92814 98802 128742 131967 139221 170159 193113 236027 263934 278442 340318 386226 472054 510477 665167 708081 1020954 1330334 1416162 1531431 1995501 2124243 3062862 3991002 4248486 5986503 7316837 11973006 14633674 21950511 43901022 65851533 131703066