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133020111131232 = 25313206395164331
BaseRepresentation
bin11110001111101100101000…
…011110001101001001100000
3122102222121011020220212212020
4132033230220132031021200
5114413400141422144412
61150524332340501440
740006246233565323
oct3617545036151140
9572877136825766
10133020111131232
113942556a9a7516
1212b042320aa880
13592b9867ccc30
1424bc2ca0287ba
15105a2596ab18c
hex78fb2878d260

133020111131232 has 96 divisors (see below), whose sum is σ = 376055914429440. Its totient is φ = 40927273935360.

The previous prime is 133020111131113. The next prime is 133020111131251. The reversal of 133020111131232 is 232131111020331.

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

It is a super-2 number, since 2×1330201111312322 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23175307 + ... + 28339637.

It is an arithmetic number, because the mean of its divisors is an integer number (3917249108640).

Almost surely, 2133020111131232 is an apocalyptic number.

133020111131232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133020111131232 is an abundant number, since it is smaller than the sum of its proper divisors (243035803298208).

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

133020111131232 is a wasteful number, since it uses less digits than its factorization.

133020111131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5184996 (or 5184988 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 133020111131232 its reverse (232131111020331), we get a palindrome (365151222151563).

The spelling of 133020111131232 in words is "one hundred thirty-three trillion, twenty billion, one hundred eleven million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 20639 41278 61917 82556 123834 165112 247668 268307 330224 495336 536614 660448 804921 990672 1073228 1609842 1981344 2146456 3219684 4292912 5164331 6439368 8585824 10328662 12878736 15492993 20657324 25757472 30985986 41314648 61971972 67136303 82629296 123943944 134272606 165258592 201408909 247887888 268545212 402817818 495775776 537090424 805635636 1074180848 1611271272 2148361696 3222542544 6445085088 106586627509 213173255018 319759882527 426346510036 639519765054 852693020072 1279039530108 1385626157617 1705386040144 2558079060216 2771252315234 3410772080288 4156878472851 5116158120432 5542504630468 8313756945702 10232316240864 11085009260936 16627513891404 22170018521872 33255027782808 44340037043744 66510055565616 133020111131232