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131133312030 = 23571514579049
BaseRepresentation
bin111101000100000100…
…1111000110000011110
3110112110220110110110110
41322020021320300132
54122030111441110
6140124121550450
712321414522030
oct1721011706036
9415426413413
10131133312030
1150682377246
12214b8345426
13c49a919b76
1464bdbd9c50
1536275c9a20
hex1e88278c1e

131133312030 has 128 divisors (see below), whose sum is σ = 362894284800. Its totient is φ = 29706393600.

The previous prime is 131133312017. The next prime is 131133312041. The reversal of 131133312030 is 30213331131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 131133311988 and 131133312006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14486946 + ... + 14495994.

It is an arithmetic number, because the mean of its divisors is an integer number (2835111600).

Almost surely, 2131133312030 is an apocalyptic number.

131133312030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131133312030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181447142400).

131133312030 is an abundant number, since it is smaller than the sum of its proper divisors (231760972770).

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

131133312030 is a wasteful number, since it uses less digits than its factorization.

131133312030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9674.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 131133312030 its reverse (30213331131), we get a palindrome (161346643161).

The spelling of 131133312030 in words is "one hundred thirty-one billion, one hundred thirty-three million, three hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 151 210 302 453 457 755 906 914 1057 1371 1510 2114 2265 2285 2742 3171 3199 4530 4570 5285 6342 6398 6855 9049 9597 10570 13710 15855 15995 18098 19194 27147 31710 31990 45245 47985 54294 63343 69007 90490 95970 126686 135735 138014 190029 207021 271470 316715 345035 380058 414042 483049 633430 690070 950145 966098 1035105 1366399 1449147 1900290 2070210 2415245 2732798 2898294 4099197 4135393 4830490 6831995 7245735 8198394 8270786 9564793 12406179 13663990 14491470 19129586 20495985 20676965 24812358 28694379 28947751 40991970 41353930 47823965 57388758 57895502 62030895 86843253 95647930 124061790 143471895 144738755 173686506 286943790 289477510 434216265 624444343 868432530 1248888686 1873333029 3122221715 3746666058 4371110401 6244443430 8742220802 9366665145 13113331203 18733330290 21855552005 26226662406 43711104010 65566656015 131133312030