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23132255130 = 23351729173783
BaseRepresentation
bin10101100010110010…
…100011001110011010
32012201010102022112000
4111202302203032122
5334333324131010
614343220301430
71446144632025
oct254262431632
965633368460
1023132255130
1198a0611726
124596b41876
1322485b723a
1411962b81bc
15905c367c0
hex562ca339a

23132255130 has 128 divisors (see below), whose sum is σ = 67567219200. Its totient is φ = 5605512192.

The previous prime is 23132255123. The next prime is 23132255137. The reversal of 23132255130 is 3155223132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23132255123) and next prime (23132255137).

It is a super-2 number, since 2×231322551302 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23132255094 and 23132255103.

It is not an unprimeable number, because it can be changed into a prime (23132255137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46219 + ... + 220001.

It is an arithmetic number, because the mean of its divisors is an integer number (527868900).

Almost surely, 223132255130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23132255130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33783609600).

23132255130 is an abundant number, since it is smaller than the sum of its proper divisors (44434964070).

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

23132255130 is a wasteful number, since it uses less digits than its factorization.

23132255130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173845 (or 173839 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 23132255130 its reverse (3155223132), we get a palindrome (26287478262).

The spelling of 23132255130 in words is "twenty-three billion, one hundred thirty-two million, two hundred fifty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 29 30 34 45 51 54 58 85 87 90 102 135 145 153 170 174 255 261 270 290 306 435 459 493 510 522 765 783 870 918 986 1305 1479 1530 1566 2295 2465 2610 2958 3915 4437 4590 4930 7395 7830 8874 13311 14790 22185 26622 44370 66555 133110 173783 347566 521349 868915 1042698 1564047 1737830 2606745 2954311 3128094 4692141 5039707 5213490 5908622 7820235 8862933 9384282 10079414 14771555 15119121 15640470 17725866 23460705 25198535 26588799 29543110 30238242 44314665 45357363 46921410 50397070 53177598 75595605 79766397 85675019 88629330 90714726 132943995 136072089 151191210 159532794 171350038 226786815 257025057 265887990 272144178 398831985 428375095 453573630 514050114 680360445 771075171 797663970 856750190 1285125285 1360720890 1542150342 2313225513 2570250570 3855375855 4626451026 7710751710 11566127565 23132255130