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123020033032 = 23136779223481
BaseRepresentation
bin111001010010010010…
…0001011110000001000
3102202112110220011222201
41302210210023300020
54003421112024112
6132303054125544
711613360012301
oct1624444136010
9382473804881
10123020033032
1148199668696
121ba131b08b4
13b7a6a94070
145d504857a8
1533001a5257
hex1ca490bc08

123020033032 has 64 divisors (see below), whose sum is σ = 255305836800. Its totient is φ = 55222801920.

The previous prime is 123020033023. The next prime is 123020033057. The reversal of 123020033032 is 230330020321.

It is a happy number.

It is a super-2 number, since 2×1230200330322 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438732 + ... + 662212.

It is an arithmetic number, because the mean of its divisors is an integer number (3989153700).

Almost surely, 2123020033032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123020033032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127652918400).

123020033032 is an abundant number, since it is smaller than the sum of its proper divisors (132285803768).

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

123020033032 is a wasteful number, since it uses less digits than its factorization.

123020033032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223646 (or 223642 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 123020033032 its reverse (230330020321), we get a palindrome (353350053353).

The spelling of 123020033032 in words is "one hundred twenty-three billion, twenty million, thirty-three thousand, thirty-two".

Divisors: 1 2 4 8 13 26 52 67 79 104 134 158 268 316 536 632 871 1027 1742 2054 3484 4108 5293 6968 8216 10586 21172 42344 68809 137618 223481 275236 446962 550472 893924 1787848 2905253 5810506 11621012 14973227 17654999 23242024 29946454 35309998 59892908 70619996 119785816 141239992 194651951 229514987 389303902 459029974 778607804 918059948 1182884933 1557215608 1836119896 2365769866 4731539732 9463079464 15377504129 30755008258 61510016516 123020033032