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23145314524530 = 23511674817217319
BaseRepresentation
bin1010100001100111100000…
…10000000001110101110010
310000221200002202122110221220
411100303300100001311302
511013203101004241110
6121120451040125510
74606123320244632
oct520636020016562
9100850082573856
1023145314524530
117413966719890
122719873006896
13cbb7947493a3
145a034c5186c2
152a20e1b80370
hex150cf0401d72

23145314524530 has 128 divisors (see below), whose sum is σ = 61516149995520. Its totient is φ = 5526066416640.

The previous prime is 23145314524529. The next prime is 23145314524531. The reversal of 23145314524530 is 3542541354132.

It is an interprime number because it is at equal distance from previous prime (23145314524529) and next prime (23145314524531).

It is not an unprimeable number, because it can be changed into a prime (23145314524531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106395211 + ... + 106612529.

It is an arithmetic number, because the mean of its divisors is an integer number (480594921840).

Almost surely, 223145314524530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23145314524530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30758074997760).

23145314524530 is an abundant number, since it is smaller than the sum of its proper divisors (38370835470990).

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

23145314524530 is a wasteful number, since it uses less digits than its factorization.

23145314524530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222224.

The product of its (nonzero) digits is 864000, while the sum is 42.

Adding to 23145314524530 its reverse (3542541354132), we get a palindrome (26687855878662).

The spelling of 23145314524530 in words is "twenty-three trillion, one hundred forty-five billion, three hundred fourteen million, five hundred twenty-four thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 67 110 134 165 201 330 335 402 670 737 1005 1474 2010 2211 3685 4422 4817 7370 9634 11055 14451 22110 24085 28902 48170 52987 72255 105974 144510 158961 217319 264935 317922 322739 434638 529870 645478 651957 794805 968217 1086595 1303914 1589610 1613695 1936434 2173190 2390509 3227390 3259785 3550129 4781018 4841085 6519570 7100258 7171527 9682170 10650387 11952545 14343054 14560373 17750645 21300774 23905090 29120746 35501290 35857635 43681119 53251935 71715270 72801865 87362238 106503870 145603730 160164103 218405595 320328206 436811190 480492309 800820515 960984618 1046825623 1601641030 2093651246 2402461545 3140476869 4804923090 5234128115 6280953738 10468256230 11515081853 15702384345 23030163706 31404768690 34545245559 57575409265 69090491118 70137316741 115150818530 140274633482 172726227795 210411950223 345452455590 350686583705 420823900446 701373167410 771510484151 1052059751115 1543020968302 2104119502230 2314531452453 3857552420755 4629062904906 7715104841510 11572657262265 23145314524530