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130111020131220 = 223254758726200261
BaseRepresentation
bin11101100101010111010101…
…001000101110001110010100
3122001200111021200222022002200
4131211113111020232032110
5114023214332123144340
61140420102200404500
736256132241226432
oct3545272510561624
9561614250868080
10130111020131220
1138503856970a97
1212714479476730
13577a55521a31b
14241b59aa4dd52
151009745eec330
hex7655d522e394

130111020131220 has 144 divisors (see below), whose sum is σ = 403754002299648. Its totient is φ = 33900202010880.

The previous prime is 130111020131219. The next prime is 130111020131227. The reversal of 130111020131220 is 22131020111031.

130111020131220 is a `hidden beast` number, since 1 + 301 + 1 + 10 + 2 + 0 + 131 + 220 = 666.

It is a super-2 number, since 2×1301110201312202 (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 = 130111020131193 and 130111020131202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130111020131227) 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, 8134111 + ... + 18066150.

It is an arithmetic number, because the mean of its divisors is an integer number (2803847238192).

Almost surely, 2130111020131220 is an apocalyptic number.

130111020131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130111020131220 is an abundant number, since it is smaller than the sum of its proper divisors (273642982168428).

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

130111020131220 is a wasteful number, since it uses less digits than its factorization.

130111020131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26200910 (or 26200905 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 130111020131220 its reverse (22131020111031), we get a palindrome (152242040242251).

The spelling of 130111020131220 in words is "one hundred thirty trillion, one hundred eleven billion, twenty million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 587 705 846 940 1174 1410 1692 1761 2115 2348 2820 2935 3522 4230 5283 5870 7044 8460 8805 10566 11740 17610 21132 26415 27589 35220 52830 55178 82767 105660 110356 137945 165534 248301 275890 331068 413835 496602 551780 827670 993204 1241505 1655340 2483010 4966020 26200261 52400522 78600783 104801044 131001305 157201566 235802349 262002610 314403132 393003915 471604698 524005220 786007830 943209396 1179011745 1231412267 1572015660 2358023490 2462824534 3694236801 4716046980 4925649068 6157061335 7388473602 11082710403 12314122670 14776947204 15379553207 18471184005 22165420806 24628245340 30759106414 36942368010 44330841612 46138659621 55413552015 61518212828 73884736020 76897766035 92277319242 110827104030 138415978863 153795532070 184554638484 221654208060 230693298105 276831957726 307591064140 461386596210 553663915452 692079894315 722839000729 922773192420 1384159788630 1445678001458 2168517002187 2768319577260 2891356002916 3614195003645 4337034004374 6505551006561 7228390007290 8674068008748 10842585010935 13011102013122 14456780014580 21685170021870 26022204026244 32527755032805 43370340043740 65055510065610 130111020131220