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102012020130200 = 23521799113127879
BaseRepresentation
bin10111001100011110000110…
…001110010000000110011000
3111101012020212002011021001012
4113030132012032100012120
5101332331104123131300
61000543401452513052
730326060646104555
oct2714360616200630
9441166762137035
10102012020130200
112a560066a08764
12b53674317b788
1344bc8cca6c59b
141b2959dc3da2c
15bbd877b97435
hex5cc786390198

102012020130200 has 96 divisors (see below), whose sum is σ = 238764843072000. Its totient is φ = 40532294275200.

The previous prime is 102012020130161. The next prime is 102012020130247. The reversal of 102012020130200 is 2031020210201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31049861 + ... + 34177739.

It is an arithmetic number, because the mean of its divisors is an integer number (2487133782000).

Almost surely, 2102012020130200 is an apocalyptic number.

102012020130200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102012020130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119382421536000).

102012020130200 is an abundant number, since it is smaller than the sum of its proper divisors (136752822941800).

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

102012020130200 is a wasteful number, since it uses less digits than its factorization.

102012020130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3128985 (or 3128976 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 102012020130200 its reverse (2031020210201), we get a palindrome (104043040340401).

The spelling of 102012020130200 in words is "one hundred two trillion, twelve billion, twenty million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 179 200 358 716 895 911 1432 1790 1822 3580 3644 4475 4555 7160 7288 8950 9110 17900 18220 22775 35800 36440 45550 91100 163069 182200 326138 652276 815345 1304552 1630690 3127879 3261380 4076725 6255758 6522760 8153450 12511516 15639395 16306900 25023032 31278790 32613800 62557580 78196975 125115160 156393950 312787900 559890341 625575800 1119780682 2239561364 2799451705 2849497769 4479122728 5598903410 5698995538 11197806820 11397991076 13997258525 14247488845 22395613640 22795982152 27994517050 28494977690 55989034100 56989955380 71237444225 111978068200 113979910760 142474888450 284949776900 510060100651 569899553800 1020120201302 2040240402604 2550300503255 4080480805208 5100601006510 10201202013020 12751502516275 20402404026040 25503005032550 51006010065100 102012020130200