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132322022030112 = 25331281158231477
BaseRepresentation
bin11110000101100010011111…
…000111100111101100100000
3122100111212021020010012120220
4132011202133013213230200
5114320431000114430422
61145231521524403040
736604644026253465
oct3605423707475440
9570455236105526
10132322022030112
11391864aa8984a2
1212a10a89546480
1358aabb42115b5
1424965c482766c
151046eed265e5c
hex78589f1e7b20

132322022030112 has 96 divisors (see below), whose sum is σ = 359825976082944. Its totient is φ = 42532620748800.

The previous prime is 132322022030021. The next prime is 132322022030119. The reversal of 132322022030112 is 211030220223231.

132322022030112 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (132322022030119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78279483 + ... + 79951994.

It is an arithmetic number, because the mean of its divisors is an integer number (3748187250864).

Almost surely, 2132322022030112 is an apocalyptic number.

132322022030112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132322022030112 is an abundant number, since it is smaller than the sum of its proper divisors (227503954052832).

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

132322022030112 is a wasteful number, since it uses less digits than its factorization.

132322022030112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158231802 (or 158231794 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132322022030112 its reverse (211030220223231), we get a palindrome (343352242253343).

The spelling of 132322022030112 in words is "one hundred thirty-two trillion, three hundred twenty-two billion, twenty-two million, thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 281 372 496 562 744 843 992 1124 1488 1686 2248 2976 3372 4496 6744 8711 8992 13488 17422 26133 26976 34844 52266 69688 104532 139376 209064 278752 418128 836256 158231477 316462954 474694431 632925908 949388862 1265851816 1898777724 2531703632 3797555448 4905175787 5063407264 7595110896 9810351574 14715527361 15190221792 19620703148 29431054722 39241406296 44463045037 58862109444 78482812592 88926090074 117724218888 133389135111 156965625184 177852180148 235448437776 266778270222 355704360296 470896875552 533556540444 711408720592 1067113080888 1378354396147 1422817441184 2134226161776 2756708792294 4135063188441 4268452323552 5513417584588 8270126376882 11026835169176 16540252753764 22053670338352 33080505507528 44107340676704 66161011015056 132322022030112