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132214511130520 = 235713127286005259
BaseRepresentation
bin11110000011111110010110…
…111110000101011110011000
3122100010120202121101122001211
4132003332112332011132120
5114312200304322134040
61145110301412552504
736564116560554520
oct3603762676053630
9570116677348054
10132214511130520
113914494a787365
12129b4084322734
1358a0a0c5c8990
142491306058680
1510443099448ea
hex783f96f85798

132214511130520 has 128 divisors (see below), whose sum is σ = 369015426662400. Its totient is φ = 41514235209216.

The previous prime is 132214511130473. The next prime is 132214511130523. The reversal of 132214511130520 is 25031115412231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132214511130523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142540350 + ... + 143464909.

It is an arithmetic number, because the mean of its divisors is an integer number (2882933020800).

Almost surely, 2132214511130520 is an apocalyptic number.

132214511130520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132214511130520 is an abundant number, since it is smaller than the sum of its proper divisors (236800915531880).

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

132214511130520 is a wasteful number, since it uses less digits than its factorization.

132214511130520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286005417 (or 286005413 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

Adding to 132214511130520 its reverse (25031115412231), we get a palindrome (157245626542751).

The spelling of 132214511130520 in words is "one hundred thirty-two trillion, two hundred fourteen billion, five hundred eleven million, one hundred thirty thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 127 130 140 182 254 260 280 364 455 508 520 635 728 889 910 1016 1270 1651 1778 1820 2540 3302 3556 3640 4445 5080 6604 7112 8255 8890 11557 13208 16510 17780 23114 33020 35560 46228 57785 66040 92456 115570 231140 462280 286005259 572010518 1144021036 1430026295 2002036813 2288042072 2860052590 3718068367 4004073626 5720105180 7436136734 8008147252 10010184065 11440210360 14872273468 16016294504 18590341835 20020368130 26026478569 29744546936 36322667893 37180683670 40040736260 52052957138 72645335786 74361367340 80081472520 104105914276 130132392845 145290671572 148722734680 181613339465 208211828552 254258675251 260264785690 290581343144 363226678930 472194682609 508517350502 520529571380 726453357860 944389365218 1017034701004 1041059142760 1271293376255 1452906715720 1888778730436 2034069402008 2360973413045 2542586752510 3305362778263 3777557460872 4721946826090 5085173505020 6610725556526 9443893652180 10170347010040 13221451113052 16526813891315 18887787304360 26442902226104 33053627782630 66107255565260 132214511130520