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23413414101 = 37111711535171
BaseRepresentation
bin10101110011100011…
…000101100011010101
32020102201110200010020
4111303203011203111
5340422313222401
614431142415353
71456130510340
oct256343054325
966381420106
1023413414101
119a25297610
124655131559
1322919192ac
1411c1785457
15920772d36
hex5738c58d5

23413414101 has 64 divisors (see below), whose sum is σ = 41254189056. Its totient is φ = 11435212800.

The previous prime is 23413414097. The next prime is 23413414117. The reversal of 23413414101 is 10141431432.

It is not a de Polignac number, because 23413414101 - 22 = 23413414097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23413414201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4525246 + ... + 4530416.

It is an arithmetic number, because the mean of its divisors is an integer number (644596704).

Almost surely, 223413414101 is an apocalyptic number.

23413414101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23413414101 is a deficient number, since it is larger than the sum of its proper divisors (17840774955).

23413414101 is a wasteful number, since it uses less digits than its factorization.

23413414101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6362.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 23413414101 its reverse (10141431432), we get a palindrome (33554845533).

The spelling of 23413414101 in words is "twenty-three billion, four hundred thirteen million, four hundred fourteen thousand, one hundred one".

Divisors: 1 3 7 11 17 21 33 51 77 119 187 231 357 561 1153 1309 3459 3927 5171 8071 12683 15513 19601 24213 36197 38049 56881 58803 87907 88781 108591 137207 170643 215611 263721 266343 398167 411621 615349 646833 966977 1194501 1509277 1846047 2900931 4527831 5962163 6768839 17886489 20306517 41735141 65583793 101356771 125205423 196751379 304070313 459086551 709497397 1114924481 1377259653 2128492191 3344773443 7804471367 23413414101