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71421023322 = 233111721313319
BaseRepresentation
bin100001010000100000…
…1100101010001011010
320211100110020220102000
41002201001211101122
52132232240221242
652451012221430
75105610452535
oct1024101452132
9224313226360
1071421023322
112832033aa10
1211a1290a876
13697297725c
14365763ba1c
151cd0259a4c
hex10a106545a

71421023322 has 128 divisors (see below), whose sum is σ = 183467980800. Its totient is φ = 20353939200.

The previous prime is 71421023291. The next prime is 71421023353. The reversal of 71421023322 is 22332012417.

71421023322 is a `hidden beast` number, since 7 + 1 + 421 + 0 + 233 + 2 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (71421023291) and next prime (71421023353).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21517179 + ... + 21520497.

It is an arithmetic number, because the mean of its divisors is an integer number (1433343600).

Almost surely, 271421023322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71421023322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91733990400).

71421023322 is an abundant number, since it is smaller than the sum of its proper divisors (112046957478).

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

71421023322 is a wasteful number, since it uses less digits than its factorization.

71421023322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5489 (or 5483 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 71421023322 its reverse (22332012417), we get a palindrome (93753035739).

The spelling of 71421023322 in words is "seventy-one billion, four hundred twenty-one million, twenty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 918 1122 1683 2131 3319 3366 4262 5049 6393 6638 9957 10098 12786 19179 19914 23441 29871 36227 36509 38358 46882 56423 57537 59742 70323 72454 73018 89613 108681 109527 112846 115074 140646 169269 179226 210969 217362 219054 326043 328581 338538 398497 421938 507807 620653 632907 652086 657162 796994 978129 985743 1015614 1195491 1241306 1265814 1523421 1861959 1956258 1971486 2390982 3046842 3586473 3723918 5585877 7072789 7172946 10759419 11171754 14145578 16757631 21218367 21518838 33515262 42436734 63655101 77800679 120237413 127310202 155601358 190965303 233402037 240474826 360712239 381930606 466804074 700206111 721424478 1082136717 1322611543 1400412222 2100618333 2164273434 2645223086 3246410151 3967834629 4201236666 6492820302 7935669258 11903503887 23807007774 35710511661 71421023322