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13113020311020 = 22325767155330731
BaseRepresentation
bin1011111011010001110011…
…1010101110010111101100
31201102120222221011012110200
42332310130322232113230
53204320431144423040
643520012142033500
72522245603400340
oct276643472562754
951376887135420
1013113020311020
1141a6223123213
121579483b78890
13741724b2b6b6
143349603bb620
1517b1769d6630
hexbed1ceae5ec

13113020311020 has 144 divisors (see below), whose sum is σ = 46136955341568. Its totient is φ = 2952526515840.

The previous prime is 13113020311009. The next prime is 13113020311093. The reversal of 13113020311020 is 2011302031131.

13113020311020 is a `hidden beast` number, since 1 + 31 + 1 + 302 + 0 + 311 + 0 + 20 = 666.

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 = 13113020310984 and 13113020311002.

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, 77580946 + ... + 77749785.

Almost surely, 213113020311020 is an apocalyptic number.

13113020311020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13113020311020 is an abundant number, since it is smaller than the sum of its proper divisors (33023935030548).

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

13113020311020 is a wasteful number, since it uses less digits than its factorization.

13113020311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155330820 (or 155330815 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13113020311020 its reverse (2011302031131), we get a palindrome (15124322342151).

The spelling of 13113020311020 in words is "thirteen trillion, one hundred thirteen billion, twenty million, three hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 67 70 84 90 105 126 134 140 180 201 210 252 268 315 335 402 420 469 603 630 670 804 938 1005 1206 1260 1340 1407 1876 2010 2345 2412 2814 3015 4020 4221 4690 5628 6030 7035 8442 9380 12060 14070 16884 21105 28140 42210 84420 155330731 310661462 465992193 621322924 776653655 931984386 1087315117 1397976579 1553307310 1863968772 2174630234 2329960965 2795953158 3106614620 3261945351 4349260468 4659921930 5436575585 5591906316 6523890702 6989882895 9319843860 9785836053 10407158977 10873151170 13047781404 13979765790 16309726755 19571672106 20814317954 21746302340 27959531580 31221476931 32619453510 39143344212 41628635908 48929180265 52035794885 62442953862 65238907020 72850112839 93664430793 97858360530 104071589770 124885907724 145700225678 156107384655 187328861586 195716721060 208143179540 218550338517 291400451356 312214769310 364250564195 374657723172 437100677034 468322153965 624429538620 655651015551 728501128390 874201354068 936644307930 1092751692585 1311302031102 1457002256780 1873288615860 2185503385170 2622604062204 3278255077755 4371006770340 6556510155510 13113020311020