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23135433453132 = 223711131926026761
BaseRepresentation
bin1010100001010101000110…
…10010101110111001001100
310000220201121010200001012120
411100222203102232321030
511013022331431000012
6121112134342332540
74605323415442410
oct520524322567114
9100821533601176
1023135433453132
11740a756054680
122717975a2a150
13cba87b59c290
1459da920b2d40
152a1c1446558c
hex150aa34aee4c

23135433453132 has 96 divisors (see below), whose sum is σ = 72480239107584. Its totient is φ = 5546957068800.

The previous prime is 23135433453101. The next prime is 23135433453191.

23135433453132 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 963001369 + ... + 963025392.

It is an arithmetic number, because the mean of its divisors is an integer number (755002490704).

Almost surely, 223135433453132 is an apocalyptic number.

23135433453132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23135433453132 is an abundant number, since it is smaller than the sum of its proper divisors (49344805654452).

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

23135433453132 is a wasteful number, since it uses less digits than its factorization.

23135433453132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926026799 (or 1926026797 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 42.

It can be divided in two parts, 2313543 and 3453132, that added together give a palindrome (5766675).

The spelling of 23135433453132 in words is "twenty-three trillion, one hundred thirty-five billion, four hundred thirty-three million, four hundred fifty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 1926026761 3852053522 5778080283 7704107044 11556160566 13482187327 21186294371 23112321132 25038347893 26964374654 40446561981 42372588742 50076695786 53928749308 63558883113 75115043679 80893123962 84745177484 100153391572 127117766226 148304060597 150230087358 161786247924 175268435251 254235532452 275421826823 296608121194 300460174716 350536870502 444912181791 525805305753 550843653646 593216242388 701073741004 826265480469 889824363582 1051610611506 1101687307292 1652530960938 1779648727164 1927952787761 2103221223012 3305061921876 3855905575522 5783858363283 7711811151044 11567716726566 23135433453132