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23132044023132 = 223112313751554087
BaseRepresentation
bin1010100001001110110010…
…10001000101010101011100
310000220101211220212011100010
411100213121101011111130
511012443411232220012
6121110414143203220
74605143420660322
oct520473121052534
9100811756764303
1023132044023132
117409276888760
12271718a8a6510
13cba45b3075b5
1459d84dc97d12
152a1ab6ae9c3c
hex1509d944555c

23132044023132 has 96 divisors (see below), whose sum is σ = 61446213771264. Its totient is φ = 6704440600000.

The previous prime is 23132044023107. The next prime is 23132044023149.

It is a happy number.

23132044023132 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 23132044023132.

It is a congruent number.

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, 41470993 + ... + 42025079.

It is an arithmetic number, because the mean of its divisors is an integer number (640064726784).

Almost surely, 223132044023132 is an apocalyptic number.

23132044023132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23132044023132 is an abundant number, since it is smaller than the sum of its proper divisors (38314169748132).

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

23132044023132 is a wasteful number, since it uses less digits than its factorization.

23132044023132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567879 (or 567877 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 2313204 and 4023132, that added together give a palindrome (6336336).

The spelling of 23132044023132 in words is "twenty-three trillion, one hundred thirty-two billion, forty-four million, twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 13751 27502 41253 55004 82506 151261 165012 302522 316273 453783 554087 605044 632546 907566 948819 1108174 1265092 1662261 1815132 1897638 2216348 3324522 3479003 3795276 6094957 6649044 6958006 10437009 12189914 12744001 13916012 18284871 20874018 24379828 25488002 36569742 38232003 41748036 50976004 73139484 76464006 140184011 152928012 280368022 420552033 560736044 841104066 1682208132 7619250337 15238500674 22857751011 30477001348 45715502022 83811753707 91431004044 167623507414 175242757751 251435261121 335247014828 350485515502 502870522242 525728273253 700971031004 1005741044484 1051456546506 1927670335261 2102913093012 3855340670522 5783011005783 7710681341044 11566022011566 23132044023132