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42332030301132 = 223311213249181973
BaseRepresentation
bin10011010000000001100011…
…01000001111001111001100
312112212220100222100202222000
421220000301220033033030
521022031444224114012
6230011022150552300
711626250113406325
oct1150006150171714
9175786328322860
1042332030301132
1112540a05569500
1248b8293368690
131a80b7c848c30
14a64c4a01b44c
154d624737cddc
hex268031a0f3cc

42332030301132 has 144 divisors (see below), whose sum is σ = 129913513964640. Its totient is φ = 11841127309440.

The previous prime is 42332030301107. The next prime is 42332030301157. The reversal of 42332030301132 is 23110303023324.

42332030301132 is a `hidden beast` number, since 4 + 2 + 3 + 320 + 3 + 0 + 301 + 1 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (42332030301107) and next prime (42332030301157).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42332030301096 and 42332030301105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124421103 + ... + 124760870.

It is an arithmetic number, because the mean of its divisors is an integer number (902177180310).

Almost surely, 242332030301132 is an apocalyptic number.

It is an amenable number.

42332030301132 is an abundant number, since it is smaller than the sum of its proper divisors (87581483663508).

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

42332030301132 is a wasteful number, since it uses less digits than its factorization.

42332030301132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249182021 (or 249182002 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 42332030301132 its reverse (23110303023324), we get a palindrome (65442333324456).

The spelling of 42332030301132 in words is "forty-two trillion, three hundred thirty-two billion, thirty million, three hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 121 132 143 156 198 234 242 286 297 351 363 396 429 468 484 572 594 702 726 858 1089 1188 1287 1404 1452 1573 1716 2178 2574 3146 3267 3861 4356 4719 5148 6292 6534 7722 9438 13068 14157 15444 18876 28314 42471 56628 84942 169884 249181973 498363946 747545919 996727892 1495091838 2242637757 2741001703 2990183676 3239365649 4485275514 5482003406 6478731298 6727913271 8223005109 8970551028 9718096947 10964006812 12957462596 13455826542 16446010218 19436193894 24669015327 26911653084 29154290841 30151018733 32892020436 35633022139 38872387788 49338030654 58308581682 60302037466 71266044278 74007045981 87462872523 90453056199 98676061308 106899066417 116617163364 120604074932 142532088556 148014091962 174925745046 180906112398 213798132834 271359168597 296028183924 320697199251 349851490092 361812224796 391963243529 427596265668 542718337194 641394398502 783926487058 814077505791 962091597753 1085436674388 1175889730587 1282788797004 1567852974116 1628155011582 1924183195506 2351779461174 3256310023164 3527669191761 3848366391012 4703558922348 7055338383522 10583007575283 14110676767044 21166015150566 42332030301132