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132220134643310 = 25743211641324781
BaseRepresentation
bin11110000100000011100110…
…001010000101011001101110
3122100011010021112000200101022
4132010003212022011121232
5114312243313432041220
61145113031420214142
736564406123620530
oct3604034612053156
9570133245020338
10132220134643310
113914727604179a
12129b519369a352
1358a13c769643c
1424916bac63850
1510445384b0925
hex7840e628566e

132220134643310 has 128 divisors (see below), whose sum is σ = 280077363422208. Its totient is φ = 43999635456000.

The previous prime is 132220134643307. The next prime is 132220134643319. The reversal of 132220134643310 is 13346431022231.

It is a super-2 number, since 2×1322201346433102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132220134643319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 406943120 + ... + 407267900.

It is an arithmetic number, because the mean of its divisors is an integer number (2188104401736).

Almost surely, 2132220134643310 is an apocalyptic number.

132220134643310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132220134643310 is an abundant number, since it is smaller than the sum of its proper divisors (147857228778898).

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

132220134643310 is a wasteful number, since it uses less digits than its factorization.

132220134643310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325690.

The product of its (nonzero) digits is 62208, while the sum is 35.

Adding to 132220134643310 its reverse (13346431022231), we get a palindrome (145566565665541).

The spelling of 132220134643310 in words is "one hundred thirty-two trillion, two hundred twenty billion, one hundred thirty-four million, six hundred forty-three thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 43 70 86 211 215 301 422 430 602 641 1055 1282 1477 1505 2110 2954 3010 3205 4487 6410 7385 8974 9073 14770 18146 22435 27563 44870 45365 55126 63511 90730 127022 135251 137815 192941 270502 275630 317555 324781 385882 635110 649562 676255 946757 964705 1352510 1623905 1893514 1929410 2273467 3247810 4546934 4733785 5815793 9467570 11367335 11631586 13965583 22734670 27931166 29078965 40710551 58157930 68528791 69827915 81421102 97759081 137057582 139655830 195518162 203552755 208184621 342643955 407105510 416369242 479701537 488795405 685287910 959403074 977590810 1040923105 1457292347 2081846210 2398507685 2914584694 2946738013 4797015370 5893476026 7286461735 8951938703 14572923470 14733690065 17903877406 20627166091 29467380130 41254332182 43926955031 44759693515 62663570921 87853910062 89519387030 103135830455 125327141842 206271660910 219634775155 307488685217 313317854605 439269550310 614977370434 626635709210 1537443426085 1888859066333 3074886852170 3777718132666 9444295331665 13222013464331 18888590663330 26444026928662 66110067321655 132220134643310