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23381431101 = 327718958733
BaseRepresentation
bin10101110001101001…
…000101001100111101
32020100111021202200200
4111301221011030331
5340341121243401
614424041114113
71455261612420
oct256151051475
966314252620
1023381431101
119a09232286
124646488939
1322880cb842
1411bb41b9b7
1591ca56686
hex571a4533d

23381431101 has 48 divisors (see below), whose sum is σ = 39582017280. Its totient is φ = 13024408320.

The previous prime is 23381431097. The next prime is 23381431123. The reversal of 23381431101 is 10113418332.

23381431101 is a `hidden beast` number, since 2 + 338 + 14 + 311 + 0 + 1 = 666.

It is not a de Polignac number, because 23381431101 - 22 = 23381431097 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23381431001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368731 + ... + 427463.

It is an arithmetic number, because the mean of its divisors is an integer number (824625360).

Almost surely, 223381431101 is an apocalyptic number.

23381431101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23381431101 is a deficient number, since it is larger than the sum of its proper divisors (16200586179).

23381431101 is a wasteful number, since it uses less digits than its factorization.

23381431101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58906 (or 58903 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 23381431101 its reverse (10113418332), we get a palindrome (33494849433).

The spelling of 23381431101 in words is "twenty-three billion, three hundred eighty-one million, four hundred thirty-one thousand, one hundred one".

Divisors: 1 3 7 9 21 63 71 89 213 267 497 623 639 801 1491 1869 4473 5607 6319 18957 44233 56871 58733 132699 176199 398097 411131 528597 1233393 3700179 4170043 5227237 12510129 15681711 29190301 36590659 37530387 47045133 87570903 109771977 262712709 329315931 371133827 1113401481 2597936789 3340204443 7793810367 23381431101