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3010020120032 = 253725187711549
BaseRepresentation
bin101011110011010011001…
…011100001010111100000
3101122202101110220010001212
4223303103023201113200
5343304010122320112
610222441213245252
7430316050605032
oct53632313412740
911582343803055
103010020120032
11a605a6983212
12407441793828
1318aac7743303
14a59859b5c52
155346e278522
hex2bcd32e15e0

3010020120032 has 96 divisors (see below), whose sum is σ = 6117883279200. Its totient is φ = 1456710912000.

The previous prime is 3010020120031. The next prime is 3010020120059. The reversal of 3010020120032 is 2300210200103.

It is a happy number.

3010020120032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30100201200322 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3010020119989 and 3010020120016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3010020120031) 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, 260624594 + ... + 260636142.

It is an arithmetic number, because the mean of its divisors is an integer number (63727950825).

Almost surely, 23010020120032 is an apocalyptic number.

3010020120032 is a gapful number since it is divisible by the number (32) 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 3010020120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058941639600).

3010020120032 is an abundant number, since it is smaller than the sum of its proper divisors (3107863159168).

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

3010020120032 is a wasteful number, since it uses less digits than its factorization.

3010020120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12724 (or 12716 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 3010020120032 its reverse (2300210200103), we get a palindrome (5310230320135).

The spelling of 3010020120032 in words is "three trillion, ten billion, twenty million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 37 74 148 251 296 502 592 877 1004 1184 1754 2008 3508 4016 7016 8032 9287 11549 14032 18574 23098 28064 32449 37148 46196 64898 74296 92392 129796 148592 184784 220127 259592 297184 369568 427313 440254 519184 854626 880508 1038368 1709252 1761016 2898799 3418504 3522032 5797598 6837008 7044064 8144699 10128473 11595196 13674016 16289398 20256946 23190392 32578796 40513892 46380784 65157592 81027784 92761568 107255563 130315184 162055568 214511126 260630368 324111136 374753501 429022252 749507002 858044504 1499014004 1716089008 2542246723 2998028008 3432178016 5084493446 5996056016 10168986892 11992112032 20337973784 40675947568 81351895136 94063128751 188126257502 376252515004 752505030008 1505010060016 3010020120032