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23112103301232 = 24311212197326257
BaseRepresentation
bin1010100000101001101001…
…01101010001000001110000
310000211111101012212112100120
411100110310231101001300
511012132041421114412
6121053315332250240
74603536315433011
oct520246455210160
9100744335775316
1023112103301232
117400873867200
122713344770980
13cb8600cb617a
1459c8bb803008
152a12eb18cb8c
hex150534b51070

23112103301232 has 120 divisors (see below), whose sum is σ = 65633131325328. Its totient is φ = 7003071989760.

The previous prime is 23112103301171. The next prime is 23112103301239. The reversal of 23112103301232 is 23210330121132.

It is a super-2 number, since 2×231121033012322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23112103301239) 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, 70677048 + ... + 71003304.

Almost surely, 223112103301232 is an apocalyptic number.

23112103301232 is a gapful number since it is divisible by the number (22) 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 23112103301232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32816565662664).

23112103301232 is an abundant number, since it is smaller than the sum of its proper divisors (42521028024096).

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

23112103301232 is a wasteful number, since it uses less digits than its factorization.

23112103301232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338487 (or 338470 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 23112103301232 its reverse (23210330121132), we get a palindrome (46322433422364).

The spelling of 23112103301232 in words is "twenty-three trillion, one hundred twelve billion, one hundred three million, three hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2904 5808 12197 24394 36591 48788 73182 97576 134167 146364 195152 268334 292728 326257 402501 536668 585456 652514 805002 978771 1073336 1305028 1475837 1610004 1957542 2146672 2610056 2951674 3220008 3588827 3915084 4427511 5220112 5903348 6440016 7177654 7830168 8855022 10766481 11806696 14355308 15660336 17710044 21532962 23613392 28710616 35420088 39477097 43065924 57421232 70840176 78954194 86131848 118431291 157908388 172263696 236862582 315816776 473725164 631633552 947450328 1894900656 3979356629 7958713258 11938069887 15917426516 23876139774 31834853032 43772922919 47752279548 63669706064 87545845838 95504559096 131318768757 175091691676 191009118192 262637537514 350183383352 481502152109 525275075028 700366766704 963004304218 1050550150056 1444506456327 1926008608436 2101100300112 2889012912654 3852017216872 5778025825308 7704034433744 11556051650616 23112103301232