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133111242032 = 2437832127257
BaseRepresentation
bin111101111111000001…
…1000101110100110000
3110201120202021201100012
41323332003011310300
54140102434221112
6141052255514052
712421422613556
oct1737603056460
9421522251305
10133111242032
11514a790a33a
122196a828928
13c724637852
14662a78bbd6
1536e107d022
hex1efe0c5d30

133111242032 has 120 divisors (see below), whose sum is σ = 271265542656. Its totient is φ = 63225888768.

The previous prime is 133111242031. The next prime is 133111242053. The reversal of 133111242032 is 230242111331.

It is a junction number, because it is equal to n+sod(n) for n = 133111241989 and 133111242007.

It is not an unprimeable number, because it can be changed into a prime (133111242031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 517942448 + ... + 517942704.

Almost surely, 2133111242032 is an apocalyptic number.

It is an amenable number.

133111242032 is an abundant number, since it is smaller than the sum of its proper divisors (138154300624).

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

133111242032 is a wasteful number, since it uses less digits than its factorization.

133111242032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 133111242032 its reverse (230242111331), we get a palindrome (363353353363).

The spelling of 133111242032 in words is "one hundred thirty-three billion, one hundred eleven million, two hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 37 74 83 127 148 166 254 257 296 332 508 514 592 664 1016 1028 1328 2032 2056 3071 4112 4699 6142 6889 9398 9509 10541 12284 13778 18796 19018 21082 21331 24568 27556 32639 37592 38036 42164 42662 49136 55112 65278 75184 76072 84328 85324 110224 130556 152144 168656 170648 254893 261112 341296 390017 509786 522224 780034 789247 874903 1019572 1207643 1560068 1578494 1749806 1770473 2039144 2415286 2709037 3120136 3156988 3499612 3540946 4078288 4830572 5418074 6240272 6313976 6999224 7081892 9661144 10836148 12627952 13998448 14163784 19322288 21672296 28327568 32371411 43344592 64742822 65507501 100234369 129485644 131015002 200468738 224850071 258971288 262030004 400937476 449700142 517942576 524060008 801874952 899400284 1048120016 1603749904 1798800568 3597601136 8319452627 16638905254 33277810508 66555621016 133111242032