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102630517830 = 2355419100799
BaseRepresentation
bin101111110010101000…
…0010110110001000110
3100210220111102111100000
41133211100112301012
53140141403032310
6115051532102130
710262165002461
oct1374520266106
9323814374300
10102630517830
113a586285085
1217a82904946
1398a77a9279
144d785682d8
152a0a1474c0
hex17e5416c46

102630517830 has 96 divisors (see below), whose sum is σ = 277385472000. Its totient is φ = 27302549472.

The previous prime is 102630517799. The next prime is 102630517831. The reversal of 102630517830 is 38715036201.

102630517830 is a `hidden beast` number, since 1 + 0 + 2 + 63 + 0 + 517 + 83 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102630517831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 967771 + ... + 1068569.

It is an arithmetic number, because the mean of its divisors is an integer number (2889432000).

Almost surely, 2102630517830 is an apocalyptic number.

102630517830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102630517830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138692736000).

102630517830 is an abundant number, since it is smaller than the sum of its proper divisors (174754954170).

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

102630517830 is a wasteful number, since it uses less digits than its factorization.

102630517830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101240 (or 101228 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 102630517830 in words is "one hundred two billion, six hundred thirty million, five hundred seventeen thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 419 486 810 838 1215 1257 2095 2430 2514 3771 4190 6285 7542 11313 12570 18855 22626 33939 37710 56565 67878 100799 101817 113130 169695 201598 203634 302397 339390 503995 509085 604794 907191 1007990 1018170 1511985 1814382 2721573 3023970 4535955 5443146 8164719 9071910 13607865 16329438 24494157 27215730 40823595 42234781 48988314 81647190 84469562 122470785 126704343 211173905 244941570 253408686 380113029 422347810 633521715 760226058 1140339087 1267043430 1900565145 2280678174 3421017261 3801130290 5701695435 6842034522 10263051783 11403390870 17105086305 20526103566 34210172610 51315258915 102630517830