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23121331040 = 2551946316427
BaseRepresentation
bin10101100010001000…
…111000001101100000
32012200100212022111002
4111202020320031200
5334323030043130
614342150211132
71445653033253
oct254210701540
965610768432
1023121331040
119895430255
124593353aa8
132246260b92
141194a7309a
15904cc9b45
hex562238360

23121331040 has 96 divisors (see below), whose sum is σ = 57626795520. Its totient is φ = 8742311424.

The previous prime is 23121331001. The next prime is 23121331061. The reversal of 23121331040 is 4013312132.

It is a super-2 number, since 2×231213310402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1399307 + ... + 1415733.

It is an arithmetic number, because the mean of its divisors is an integer number (600279120).

Almost surely, 223121331040 is an apocalyptic number.

23121331040 is a gapful number since it is divisible by the number (20) 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 23121331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28813397760).

23121331040 is an abundant number, since it is smaller than the sum of its proper divisors (34505464480).

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

23121331040 is a wasteful number, since it uses less digits than its factorization.

23121331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16924 (or 16916 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 23121331040 its reverse (4013312132), we get a palindrome (27134643172).

The spelling of 23121331040 in words is "twenty-three billion, one hundred twenty-one million, three hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 463 608 760 926 1520 1852 2315 3040 3704 4630 7408 8797 9260 14816 16427 17594 18520 32854 35188 37040 43985 65708 70376 74080 82135 87970 131416 140752 164270 175940 262832 281504 312113 328540 351880 525664 624226 657080 703760 1248452 1314160 1407520 1560565 2496904 2628320 3121130 4993808 6242260 7605701 9987616 12484520 15211402 24969040 30422804 38028505 49938080 60845608 76057010 121691216 144508319 152114020 243382432 289016638 304228040 578033276 608456080 722541595 1156066552 1216912160 1445083190 2312133104 2890166380 4624266208 5780332760 11560665520 23121331040