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131000030323020 = 223255371193403653
BaseRepresentation
bin11101110010010011010010…
…010001011110000101001100
3122011211110222100111021121200
4131302103102101132011030
5114132301030230314040
61142340325542225500
736410303605203015
oct3562232221360514
9564743870437550
10131000030323020
1138816889a54271
1212838825125290
135813332c09a31
14244c61465a00c
1510229287ee630
hex7724d245e14c

131000030323020 has 144 divisors (see below), whose sum is σ = 410566560086592. Its totient is φ = 33791486077440.

The previous prime is 131000030322943. The next prime is 131000030323027. The reversal of 131000030323020 is 20323030000131.

131000030323020 is a `hidden beast` number, since 1 + 310 + 0 + 0 + 0 + 30 + 323 + 0 + 2 + 0 = 666.

It is a super-2 number, since 2×1310000303230202 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 131000030322984 and 131000030323002.

It is not an unprimeable number, because it can be changed into a prime (131000030323027) 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, 96024487 + ... + 97379166.

It is an arithmetic number, because the mean of its divisors is an integer number (2851156667268).

Almost surely, 2131000030323020 is an apocalyptic number.

131000030323020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131000030323020 is an abundant number, since it is smaller than the sum of its proper divisors (279566529763572).

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

131000030323020 is a wasteful number, since it uses less digits than its factorization.

131000030323020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193403792 (or 193403787 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 131000030323020 its reverse (20323030000131), we get a palindrome (151323060323151).

The spelling of 131000030323020 in words is "one hundred thirty-one trillion, thirty million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 71 90 106 142 159 180 212 213 265 284 318 355 426 477 530 636 639 710 795 852 954 1060 1065 1278 1420 1590 1908 2130 2385 2556 3180 3195 3763 4260 4770 6390 7526 9540 11289 12780 15052 18815 22578 33867 37630 45156 56445 67734 75260 112890 135468 169335 225780 338670 677340 193403653 386807306 580210959 773614612 967018265 1160421918 1740632877 1934036530 2320843836 2901054795 3481265754 3868073060 5802109590 6962531508 8703164385 10250393609 11604219180 13731659363 17406328770 20500787218 27463318726 30751180827 34812657540 41001574436 41194978089 51251968045 54926637452 61502361654 68658296815 82389956178 92253542481 102503936090 123004723308 123584934267 137316593630 153755904135 164779912356 184507084962 205007872180 205974890445 247169868534 274633187260 307511808270 369014169924 411949780890 461267712405 494339737068 615023616540 617924671335 727777946239 823899561780 922535424810 1235849342670 1455555892478 1845070849620 2183333838717 2471698685340 2911111784956 3638889731195 4366667677434 6550001516151 7277779462390 8733335354868 10916669193585 13100003032302 14555558924780 21833338387170 26200006064604 32750007580755 43666676774340 65500015161510 131000030323020