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131020203131300 = 225271036101297853
BaseRepresentation
bin11101110010100110000100…
…101010101000000110100100
3122011220102001020012010021002
4131302212010222220012210
5114133113334000200200
61142353503403412432
736411616526223110
oct3562460452500644
9564812036163232
10131020203131300
11388243a0a8374a
1212840714b24118
1358151c933ac92
14244d5a9886740
151023209802bd5
hex772984aa81a4

131020203131300 has 144 divisors (see below), whose sum is σ = 328139642218752. Its totient is φ = 44477643456000.

The previous prime is 131020203131291. The next prime is 131020203131347. The reversal of 131020203131300 is 3131302020131.

It is a super-2 number, since 2×1310202031313002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439733174 + ... + 440031026.

It is an arithmetic number, because the mean of its divisors is an integer number (2278747515408).

Almost surely, 2131020203131300 is an apocalyptic number.

131020203131300 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 131020203131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164069821109376).

131020203131300 is an abundant number, since it is smaller than the sum of its proper divisors (197119439087452).

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

131020203131300 is a wasteful number, since it uses less digits than its factorization.

131020203131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304078 (or 304071 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 131020203131300 its reverse (3131302020131), we get a palindrome (134151505151431).

The spelling of 131020203131300 in words is "one hundred thirty-one trillion, twenty billion, two hundred three million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 103 140 175 206 350 412 515 700 721 1030 1442 2060 2575 2884 3605 5150 6101 7210 10300 12202 14420 18025 24404 30505 36050 42707 61010 72100 85414 122020 152525 170828 213535 297853 305050 427070 595706 610100 628403 854140 1067675 1191412 1256806 1489265 2084971 2135350 2513612 2978530 3142015 4169942 4270700 4398821 5957060 6284030 7446325 8339884 8797642 10424855 12568060 14892650 15710075 17595284 20849710 21994105 29785300 30678859 31420150 41699420 43988210 52124275 61357718 62840300 87976420 104248550 109970525 122715436 153394295 208497100 214752013 219941050 306788590 429504026 439882100 613577180 766971475 859008052 1073760065 1533942950 1817201153 2147520130 3067885900 3634402306 4295040260 5368800325 7268804612 9086005765 10737600650 12720408071 18172011530 21475201300 25440816142 36344023060 45430028825 50881632284 63602040355 90860057650 127204080710 181720115300 187171718759 254408161420 318010201775 374343437518 636020403550 748686875036 935858593795 1272040807100 1310202031313 1871717187590 2620404062626 3743434375180 4679292968975 5240808125252 6551010156565 9358585937950 13102020313130 18717171875900 26204040626260 32755050782825 65510101565650 131020203131300