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132003131010310 = 25721724092279119
BaseRepresentation
bin11110000000111001011111…
…101110111010110100000110
3122022101101011011101221102201
4132000321133232322310012
5114300214403014312220
61144425222355225114
736542624433311500
oct3600713756726406
9568341134357381
10132003131010310
113907323916043a
121297b1115a819a
135886ac36b1381
142484db27d8d70
15103da87397d0a
hex780e5fbbad06

132003131010310 has 144 divisors (see below), whose sum is σ = 294331528094400. Its totient is φ = 42491803060224.

The previous prime is 132003131010269. The next prime is 132003131010329. The reversal of 132003131010310 is 13010131300231.

It is a super-2 number, since 2×1320031310103102 (a number of 29 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 71 ways as a sum of consecutive naturals, for example, 56778931 + ... + 59058049.

It is an arithmetic number, because the mean of its divisors is an integer number (2043968945100).

Almost surely, 2132003131010310 is an apocalyptic number.

132003131010310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132003131010310 is an abundant number, since it is smaller than the sum of its proper divisors (162328397084090).

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

132003131010310 is a wasteful number, since it uses less digits than its factorization.

132003131010310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279583 (or 2279559 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 132003131010310 its reverse (13010131300231), we get a palindrome (145013262310541).

The spelling of 132003131010310 in words is "one hundred thirty-two trillion, three billion, one hundred thirty-one million, ten thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 17 34 35 49 70 85 98 119 170 238 245 289 409 490 578 595 818 833 1190 1445 1666 2023 2045 2863 2890 4046 4090 4165 5726 6953 8330 10115 13906 14161 14315 20041 20230 28322 28630 34765 40082 48671 69530 70805 97342 100205 118201 141610 200410 236402 243355 340697 486710 591005 681394 827407 1182010 1654814 1703485 2279119 3406970 4137035 4558238 5791849 8274070 11395595 11583698 15953833 22791190 28959245 31907666 38745023 57918490 77490046 79769165 111676831 159538330 193725115 223353662 271215161 387450230 542430322 558384155 658665391 932159671 1116768310 1317330782 1356075805 1864319342 1898506127 2712151610 3293326955 3797012254 4610657737 4660798355 6525117697 6586653910 9221315474 9321596710 9492530635 13050235394 15846714407 18985061270 23053288685 31693428814 32274604159 32625588485 45675823879 46106577370 64549208318 65251176970 79233572035 91351647758 110927000849 158467144070 161373020795 221854001698 228379119395 269394144919 322746041590 456758238790 538788289838 554635004245 776489005943 1109270008490 1346970724595 1552978011886 1885759014433 2693941449190 3771518028866 3882445029715 7764890059430 9428795072165 13200313101031 18857590144330 26400626202062 66001565505155 132003131010310