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23201111412 = 22327326993271
BaseRepresentation
bin10101100110111001…
…001101110101110100
32012212220222120120200
4111212321031311310
5340003441031122
614354120200500
71450642123143
oct254671156564
965786876520
1023201111412
119926471446
1245b6009130
1322599452bb
1411a14bd75a
1590bcd85ac
hex566e4dd74

23201111412 has 72 divisors (see below), whose sum is σ = 59490849600. Its totient is φ = 7622605440.

The previous prime is 23201111411. The next prime is 23201111449. The reversal of 23201111412 is 21411110232.

23201111412 is a `hidden beast` number, since 232 + 0 + 11 + 11 + 412 = 666.

It is a super-4 number, since 4×232011114124 (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23201111411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7091337 + ... + 7094607.

It is an arithmetic number, because the mean of its divisors is an integer number (826261800).

Almost surely, 223201111412 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 23201111412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29745424800).

23201111412 is an abundant number, since it is smaller than the sum of its proper divisors (36289738188).

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

23201111412 is a wasteful number, since it uses less digits than its factorization.

23201111412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6053 (or 6048 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 23201111412 its reverse (21411110232), we get a palindrome (44612221644).

The spelling of 23201111412 in words is "twenty-three billion, two hundred one million, one hundred eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 2699 3271 5398 6542 8097 9813 10796 13084 16194 19626 24291 29439 32388 39252 48582 58878 97164 117756 197027 238783 394054 477566 591081 716349 788108 955132 1182162 1432698 1773243 2149047 2364324 2865396 3546486 4298094 7092972 8596188 8828429 17656858 26485287 35313716 52970574 79455861 105941148 158911722 317823444 644475317 1288950634 1933425951 2577901268 3866851902 5800277853 7733703804 11600555706 23201111412