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23120401276 = 22723122716763
BaseRepresentation
bin10101100010000101…
…010101001101111100
32012200022010002002101
4111202011111031330
5334322310320101
614342114234444
71445642111500
oct254205251574
965608102071
1023120401276
119894955755
124592b85a24
132245cc691b
1411948b0300
15904b94401
hex56215537c

23120401276 has 72 divisors (see below), whose sum is σ = 48801747456. Its totient is φ = 9546294240.

The previous prime is 23120401267. The next prime is 23120401277. The reversal of 23120401276 is 67210402132.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23120401277) 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 23 ways as a sum of consecutive naturals, for example, 1370871 + ... + 1387633.

It is an arithmetic number, because the mean of its divisors is an integer number (677802048).

Almost surely, 223120401276 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 23120401276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24400873728).

23120401276 is an abundant number, since it is smaller than the sum of its proper divisors (25681346180).

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

23120401276 is a wasteful number, since it uses less digits than its factorization.

23120401276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17039 (or 17030 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 23120401276 in words is "twenty-three billion, one hundred twenty million, four hundred one thousand, two hundred seventy-six".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 227 434 454 868 908 1519 1589 3038 3178 6076 6356 7037 11123 14074 16763 22246 28148 33526 44492 49259 67052 98518 117341 197036 234682 344813 469364 519653 689626 821387 1039306 1379252 1642774 2078612 3285548 3637571 3805201 7275142 7610402 14550284 15220804 25462997 26636407 50925994 53272814 101851988 106545628 117961231 186454849 235922462 372909698 471844924 745819396 825728617 1651457234 3302914468 5780100319 11560200638 23120401276