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23403120312312 = 23321325093778651
BaseRepresentation
bin1010101001000111101101…
…01011000011111111111000
310001212022112200201102220100
411110203312223003333320
511031414042244443222
6121435124532555400
74633551065264316
oct524436653037770
9101768480642810
1023403120312312
117503231330a14
12275b821782b60
131009b9ba3c600
145aca078bb0b6
152a8b7edd04ac
hex1548f6ac3ff8

23403120312312 has 144 divisors (see below), whose sum is σ = 68769010276200. Its totient is φ = 7186810924800.

The previous prime is 23403120312283. The next prime is 23403120312331. The reversal of 23403120312312 is 21321302130432.

23403120312312 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 31 + 2 + 0 + 312 + 312 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4304187 + ... + 8082837.

Almost surely, 223403120312312 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 23403120312312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34384505138100).

23403120312312 is an abundant number, since it is smaller than the sum of its proper divisors (45365889963888).

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

23403120312312 is a wasteful number, since it uses less digits than its factorization.

23403120312312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3779198 (or 3779178 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 23403120312312 its reverse (21321302130432), we get a palindrome (44724422442744).

The spelling of 23403120312312 in words is "twenty-three trillion, four hundred three billion, one hundred twenty million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 509 676 936 1014 1018 1352 1521 1527 2028 2036 3042 3054 4056 4072 4581 6084 6108 6617 9162 12168 12216 13234 18324 19851 26468 36648 39702 52936 59553 79404 86021 119106 158808 172042 238212 258063 344084 476424 516126 688168 774189 1032252 1548378 2064504 3096756 3778651 6193512 7557302 11335953 15114604 22671906 30229208 34007859 45343812 49122463 68015718 90687624 98244926 136031436 147367389 196489852 272062872 294734778 392979704 442102167 589469556 638592019 884204334 1178939112 1277184038 1768408668 1915776057 1923333359 2554368076 3536817336 3831552114 3846666718 5108736152 5747328171 5770000077 7663104228 7693333436 11494656342 11540000154 15326208456 15386666872 17310000231 22989312684 23080000308 25003333667 34620000462 45978625368 46160000616 50006667334 69240000924 75010001001 100013334668 138480001848 150020002002 200026669336 225030003003 300040004004 325043337671 450060006006 600080008008 650086675342 900120012012 975130013013 1300173350684 1800240024024 1950260026026 2600346701368 2925390039039 3900520052052 5850780078078 7801040104104 11701560156156 23403120312312