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103131020301300 = 223252317361482721
BaseRepresentation
bin10111011100110000001111…
…110101001001001111110100
3111112011020012010101201121200
4113130300033311021033310
5102004144312144120200
61003201423042012500
730502653552450135
oct2734601765111764
9445136163351550
10103131020301300
112a9516903814a2
12b697596047130
1345712a1045144
141b677d48c7c8c
15bdca1b718800
hex5dcc0fd493f4

103131020301300 has 108 divisors (see below), whose sum is σ = 324278197286316. Its totient is φ = 27414849484800.

The previous prime is 103131020301227. The next prime is 103131020301317. The reversal of 103131020301300 is 3103020131301.

It is a happy number.

103131020301300 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 310 + 20 + 30 + 1 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 21559993439076 + 81571026862224 = 4643274^2 + 9031668^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 180456061 + ... + 181026660.

Almost surely, 2103131020301300 is an apocalyptic number.

103131020301300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103131020301300 is an abundant number, since it is smaller than the sum of its proper divisors (221147176985016).

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

103131020301300 is a wasteful number, since it uses less digits than its factorization.

103131020301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361483058 (or 361483048 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103131020301300 its reverse (3103020131301), we get a palindrome (106234040432601).

The spelling of 103131020301300 in words is "one hundred three trillion, one hundred thirty-one billion, twenty million, three hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 317 450 634 900 951 1268 1585 1902 2853 3170 3804 4755 5706 6340 7925 9510 11412 14265 15850 19020 23775 28530 31700 47550 57060 71325 95100 142650 285300 361482721 722965442 1084448163 1445930884 1807413605 2168896326 3253344489 3614827210 4337792652 5422240815 6506688978 7229654420 9037068025 10844481630 13013377956 16266722445 18074136050 21688963260 27111204075 32533444890 36148272100 54222408150 65066889780 81333612225 108444816300 114590022557 162667224450 229180045114 325334448900 343770067671 458360090228 572950112785 687540135342 1031310203013 1145900225570 1375080270684 1718850338355 2062620406026 2291800451140 2864750563925 3437700676710 4125240812052 5156551015065 5729501127850 6875401353420 8594251691775 10313102030130 11459002255700 17188503383550 20626204060260 25782755075325 34377006767100 51565510150650 103131020301300