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23100133131324 = 223219157467460619
BaseRepresentation
bin1010100000010011010110…
…01110101100010000111100
310000210100110222212220012100
411100021223032230100330
511011433033040200244
6121044015450105100
74602633555606324
oct520115316542074
9100710428786170
1023100133131324
1173a6790a2a3a7
122710b63a1b190
13cb74440971b2
1459c0a3b4c284
152a0d4a360b69
hex15026b3ac43c

23100133131324 has 144 divisors (see below), whose sum is σ = 61989355209600. Its totient is φ = 7232778603648.

The previous prime is 23100133131293. The next prime is 23100133131349. The reversal of 23100133131324 is 42313133100132.

23100133131324 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 0 + 1 + 331 + 3 + 1 + 324 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49919887 + ... + 50380505.

It is an arithmetic number, because the mean of its divisors is an integer number (430481633400).

Almost surely, 223100133131324 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 23100133131324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30994677604800).

23100133131324 is an abundant number, since it is smaller than the sum of its proper divisors (38889222078276).

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

23100133131324 is a wasteful number, since it uses less digits than its factorization.

23100133131324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461272 (or 461267 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 23100133131324 its reverse (42313133100132), we get a palindrome (65413266231456).

The spelling of 23100133131324 in words is "twenty-three trillion, one hundred billion, one hundred thirty-three million, one hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 157 171 228 314 342 467 471 628 684 934 942 1401 1413 1868 1884 2802 2826 2983 4203 5604 5652 5966 8406 8873 8949 11932 16812 17746 17898 26619 26847 35492 35796 53238 53694 73319 79857 106476 107388 146638 159714 219957 293276 319428 439914 460619 659871 879828 921238 1319742 1381857 1393061 1842476 2639484 2763714 2786122 4145571 4179183 5527428 5572244 8291142 8358366 8751761 12537549 16582284 16716732 17503522 25075098 26255283 35007044 50150196 52510566 72317183 78765849 105021132 144634366 157531698 215109073 216951549 289268732 315063396 430218146 433903098 645327219 650854647 860436292 867806196 1290654438 1301709294 1374026477 1935981657 2581308876 2603418588 2748052954 3871963314 4087072387 4122079431 5496105908 7743926628 8174144774 8244158862 12261217161 12366238293 16348289548 16488317724 24522434322 24732476586 33772124461 36783651483 49044868644 49464953172 67544248922 73567302966 101316373383 135088497844 147134605932 202632746766 303949120149 405265493532 607898240298 641670364759 1215796480596 1283340729518 1925011094277 2566681459036 3850022188554 5775033282831 7700044377108 11550066565662 23100133131324