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132013221072 = 243231317691187
BaseRepresentation
bin111101011110010011…
…0011110010011010000
3110121202020011110202020
41322330212132103100
54130330341033242
6140351313251440
712352260602355
oct1727446362320
9417666143666
10132013221072
1150a940269a7
1221702b63b80
13c5aacca8c5
146564a0662c
1536799886ec
hex1ebc99e4d0

132013221072 has 160 divisors (see below), whose sum is σ = 359347000320. Its totient is φ = 41680404480.

The previous prime is 132013221071. The next prime is 132013221103. The reversal of 132013221072 is 270122310231.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132013221071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111215263 + ... + 111216449.

It is an arithmetic number, because the mean of its divisors is an integer number (2245918752).

Almost surely, 2132013221072 is an apocalyptic number.

132013221072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132013221072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179673500160).

132013221072 is an abundant number, since it is smaller than the sum of its proper divisors (227333779248).

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

132013221072 is a wasteful number, since it uses less digits than its factorization.

132013221072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 132013221072 in words is "one hundred thirty-two billion, thirteen million, two hundred twenty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 131 138 184 262 276 368 393 524 552 769 786 1048 1104 1187 1538 1572 2096 2307 2374 3013 3076 3144 3561 4614 4748 6026 6152 6288 7122 9039 9228 9496 12052 12304 14244 17687 18078 18456 18992 24104 27301 28488 35374 36156 36912 48208 53061 54602 56976 70748 72312 81903 100739 106122 109204 141496 144624 155497 163806 201478 212244 218408 282992 302217 310994 327612 402956 424488 436816 466491 604434 621988 655224 805912 848976 912803 932982 1208868 1243976 1310448 1611824 1825606 1865964 2316997 2417736 2487952 2738409 3576431 3651212 3731928 4633994 4835472 5476818 6950991 7152862 7302424 7463856 9267988 10729293 10953636 13901982 14305724 14604848 18535976 20994469 21458586 21907272 27803964 28611448 37071952 41988938 42917172 43814544 55607928 57222896 62983407 83977876 85834344 111215856 119577193 125966814 167955752 171668688 239154386 251933628 335911504 358731579 478308772 503867256 717463158 956617544 1007734512 1434926316 1913235088 2750275439 2869852632 5500550878 5739705264 8250826317 11001101756 16501652634 22002203512 33003305268 44004407024 66006610536 132013221072