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132220303513345 = 529411311514092749
BaseRepresentation
bin11110000100000011110000…
…001110010001011100000001
3122100011010201021210011112001
4132010003300032101130001
5114312244140144411340
61145113100251504001
736564413244162145
oct3604036016213401
9570133637704461
10132220303513345
11391473523a2303
12129b5220158001
1358a1423671338
1424916d5461225
15104454821b29a
hex7840f0391701

132220303513345 has 128 divisors (see below), whose sum is σ = 171023529600000. Its totient is φ = 97946634240000.

The previous prime is 132220303513289. The next prime is 132220303513381. The reversal of 132220303513345 is 543315303022231.

It is not a de Polignac number, because 132220303513345 - 211 = 132220303511297 is a prime.

It is a super-2 number, since 2×1322203035133452 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48097599031 + ... + 48097601779.

It is an arithmetic number, because the mean of its divisors is an integer number (1336121325000).

Almost surely, 2132220303513345 is an apocalyptic number.

It is an amenable number.

132220303513345 is a deficient number, since it is larger than the sum of its proper divisors (38803226086655).

132220303513345 is a wasteful number, since it uses less digits than its factorization.

132220303513345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515.

The product of its (nonzero) digits is 194400, while the sum is 37.

Adding to 132220303513345 its reverse (543315303022231), we get a palindrome (675535606535576).

The spelling of 132220303513345 in words is "one hundred thirty-two trillion, two hundred twenty billion, three hundred three million, five hundred thirteen thousand, three hundred forty-five".

Divisors: 1 5 29 41 131 145 151 205 409 655 755 1189 2045 2749 3799 4379 5371 5945 6191 11861 13745 16769 18995 19781 21895 26855 30955 53579 59305 61759 79721 83845 98905 112709 155759 179539 267895 308795 360119 398605 415099 486301 563545 573649 778795 811021 897695 1124341 1553791 1791011 1800595 2075495 2196739 2431505 2532119 2868245 3268561 4055105 5621705 7768955 8090429 8955055 10443451 10983695 12037871 12660595 14764879 16342805 17019059 23519609 32605889 40452145 46097981 52217255 54377969 60189355 63705431 73431451 73824395 85095295 117598045 147288671 163029445 169775491 230489905 234622441 271889845 318527155 331707589 367157255 428181491 493552711 736443355 848877455 1173112205 1336841449 1576961101 1658537945 2140907455 2229496729 2467763555 4271371459 4923489239 6038835511 6684207245 6960795131 7884805505 9619520081 11147483645 21356857295 22240589321 24617446195 30194177555 34803975655 48097600405 64655405141 111202946605 175126229819 201863058799 323277025705 644977090309 875631149095 911864162161 1009315293995 3224885451545 4559320810805 26444060702669 132220303513345