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102010535352 = 233311371160371
BaseRepresentation
bin101111100000001001…
…1010011110110111000
3100202022021211010021000
41133000103103312320
53132404144112402
6114510223445000
710240626146415
oct1370023236670
9322267733230
10102010535352
113a298319070
121792b156760
13980920522b
144d1a09d10c
1529c09cdc1c
hex17c04d3db8

102010535352 has 128 divisors (see below), whose sum is σ = 317477779200. Its totient is φ = 30076790400.

The previous prime is 102010535327. The next prime is 102010535353. The reversal of 102010535352 is 253535010201.

It is a happy number.

102010535352 is a `hidden beast` number, since 1 + 0 + 20 + 105 + 3 + 535 + 2 = 666.

It is a super-5 number, since 5×1020105353525 (a number of 56 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010535353) 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 31 ways as a sum of consecutive naturals, for example, 492274 + ... + 668097.

It is an arithmetic number, because the mean of its divisors is an integer number (2480295150).

Almost surely, 2102010535352 is an apocalyptic number.

102010535352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102010535352 is an abundant number, since it is smaller than the sum of its proper divisors (215467243848).

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

102010535352 is a wasteful number, since it uses less digits than its factorization.

102010535352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160434 (or 1160424 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 102010535352 its reverse (253535010201), we get a palindrome (355545545553).

The spelling of 102010535352 in words is "one hundred two billion, ten million, five hundred thirty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 37 44 54 66 72 74 88 99 108 111 132 148 198 216 222 264 296 297 333 396 407 444 594 666 792 814 888 999 1188 1221 1332 1628 1998 2376 2442 2664 3256 3663 3996 4884 7326 7992 9768 10989 14652 21978 29304 43956 87912 1160371 2320742 3481113 4641484 6962226 9282968 10443339 12764081 13924452 20886678 25528162 27848904 31330017 38292243 41773356 42933727 51056324 62660034 76584486 83546712 85867454 102112648 114876729 125320068 128801181 153168972 171734908 229753458 250640136 257602362 306337944 343469816 344630187 386403543 459506916 472270997 515204724 689260374 772807086 919013832 944541994 1030409448 1159210629 1378520748 1416812991 1545614172 1889083988 2318421258 2757041496 2833625982 3091228344 3778167976 4250438973 4636842516 5667251964 8500877946 9273685032 11334503928 12751316919 17001755892 25502633838 34003511784 51005267676 102010535352