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131330311770 = 23573122878821
BaseRepresentation
bin111101001001111100…
…1011000011001011010
3110112222122011002022010
41322103321120121122
54122431024434040
6140155440210350
712326326142220
oct1722371303132
9415878132263
10131330311770
11507735a0049
12215523099b6
13c4cc693668
1464dc03ab10
153639a3ee80
hex1e93e5865a

131330311770 has 128 divisors (see below), whose sum is σ = 372045053952. Its totient is φ = 29034028800.

The previous prime is 131330311759. The next prime is 131330311807. The reversal of 131330311770 is 77113033131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14883960 + ... + 14892780.

It is an arithmetic number, because the mean of its divisors is an integer number (2906601984).

Almost surely, 2131330311770 is an apocalyptic number.

131330311770 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 131330311770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186022526976).

131330311770 is an abundant number, since it is smaller than the sum of its proper divisors (240714742182).

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

131330311770 is a wasteful number, since it uses less digits than its factorization.

131330311770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11156.

The product of its (nonzero) digits is 3969, while the sum is 30.

The spelling of 131330311770 in words is "one hundred thirty-one billion, three hundred thirty million, three hundred eleven thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 651 930 1085 1302 2170 2287 3255 4574 6510 6861 8821 11435 13722 16009 17642 22870 26463 32018 34305 44105 48027 52926 61747 68610 70897 80045 88210 96054 123494 132315 141794 160090 185241 212691 240135 264630 273451 308735 354485 370482 425382 480270 496279 546902 617470 708970 820353 926205 992558 1063455 1367255 1488837 1640706 1852410 1914157 2126910 2481395 2734510 2977674 3828314 4101765 4962790 5742471 7444185 8203530 9570785 11484942 14888370 19141570 20173627 28712355 40347254 57424710 60520881 100868135 121041762 141215389 201736270 282430778 302604405 423646167 605208810 625382437 706076945 847292334 1250764874 1412153890 1876147311 2118230835 3126912185 3752294622 4236461670 4377677059 6253824370 8755354118 9380736555 13133031177 18761473110 21888385295 26266062354 43776770590 65665155885 131330311770