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23120162040 = 23351272575903
BaseRepresentation
bin10101100010000100…
…011010110011111000
32012200021122220220210
4111202010122303320
5334322230141130
614342105151120
71445640064143
oct254204326370
965607586823
1023120162040
119894801a38
124592a8b4a0
132245c41a71
14119484b05a
15904b485b0
hex56211acf8

23120162040 has 128 divisors (see below), whose sum is σ = 70190530560. Its totient is φ = 6091997184.

The previous prime is 23120162033. The next prime is 23120162047. The reversal of 23120162040 is 4026102132.

It is an interprime number because it is at equal distance from previous prime (23120162033) and next prime (23120162047).

It is a super-3 number, since 3×231201620403 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23120161998 and 23120162016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23120162047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3913729 + ... + 3919631.

It is an arithmetic number, because the mean of its divisors is an integer number (548363520).

Almost surely, 223120162040 is an apocalyptic number.

23120162040 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 23120162040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35095265280).

23120162040 is an abundant number, since it is smaller than the sum of its proper divisors (47070368520).

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

23120162040 is a wasteful number, since it uses less digits than its factorization.

23120162040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6301 (or 6297 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 23120162040 its reverse (4026102132), we get a palindrome (27146264172).

The spelling of 23120162040 in words is "twenty-three billion, one hundred twenty million, one hundred sixty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 257 381 508 514 635 762 771 1016 1028 1270 1285 1524 1542 1905 2056 2540 2570 3048 3084 3810 3855 5080 5140 5903 6168 7620 7710 10280 11806 15240 15420 17709 23612 29515 30840 32639 35418 47224 59030 65278 70836 88545 97917 118060 130556 141672 163195 177090 195834 236120 261112 326390 354180 391668 489585 652780 708360 749681 783336 979170 1305560 1499362 1517071 1958340 2249043 2998724 3034142 3748405 3916680 4498086 4551213 5997448 6068284 7496810 7585355 8996172 9102426 11245215 12136568 14993620 15170710 17992344 18204852 22490430 22756065 29987240 30341420 36409704 44980860 45512130 60682840 89961720 91024260 182048520 192668017 385336034 578004051 770672068 963340085 1156008102 1541344136 1926680170 2312016204 2890020255 3853360340 4624032408 5780040510 7706720680 11560081020 23120162040