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102009474021 = 37135367105227
BaseRepresentation
bin101111100000000111…
…1010000101111100101
3100202022012211012101110
41133000033100233211
53132403411132041
6114510145015233
710240614136230
oct1370017205745
9322265735343
10102009474021
113a297763734
121792a924519
139808c23120
144d19ca4417
1529c086e516
hex17c03d0be5

102009474021 has 64 divisors (see below), whose sum is σ = 173105952768. Its totient is φ = 52003531008.

The previous prime is 102009474013. The next prime is 102009474023. The reversal of 102009474021 is 120474900201.

It is not a de Polignac number, because 102009474021 - 23 = 102009474013 is a prime.

It is a super-3 number, since 3×1020094740213 (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102009474021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102009474023) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 916810 + ... + 1022036.

It is an arithmetic number, because the mean of its divisors is an integer number (2704780512).

Almost surely, 2102009474021 is an apocalyptic number.

It is an amenable number.

102009474021 is a deficient number, since it is larger than the sum of its proper divisors (71096478747).

102009474021 is a wasteful number, since it uses less digits than its factorization.

102009474021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105370.

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 102009474021 in words is "one hundred two billion, nine million, four hundred seventy-four thousand, twenty-one".

Divisors: 1 3 7 13 21 39 53 67 91 159 201 273 371 469 689 871 1113 1407 2067 2613 3551 4823 6097 10653 14469 18291 24857 46163 74571 105227 138489 315681 323141 736589 969423 1367951 2209767 4103853 5577031 7050209 9575657 16731093 21150627 28726971 39039217 49351463 72501403 91652717 117117651 148054389 217504209 274958151 373661077 507509821 641569019 1120983231 1522529463 1924707057 2615627539 4857594001 7846882617 14572782003 34003158007 102009474021