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131221324114320 = 243511371343379649
BaseRepresentation
bin11101110101100001011000…
…011010010010100110010000
3122012121122011200210122101010
4131311201120122102212100
5114144412232433124240
61143030124420210520
736432266511325146
oct3565413032224620
9565548150718333
10131221324114320
11388a1718590aa0
12128736a3b39a40
13582b16b9767cb
1424592087a9596
15102857b3a5280
hex775858692990

131221324114320 has 160 divisors (see below), whose sum is σ = 455760353577600. Its totient is φ = 30951467089920.

The previous prime is 131221324114297. The next prime is 131221324114343. The reversal of 131221324114320 is 23411423122131.

It is an interprime number because it is at equal distance from previous prime (131221324114297) and next prime (131221324114343).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671592145 + ... + 671787504.

It is an arithmetic number, because the mean of its divisors is an integer number (2848502209860).

Almost surely, 2131221324114320 is an apocalyptic number.

131221324114320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131221324114320 is an abundant number, since it is smaller than the sum of its proper divisors (324539029463280).

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

131221324114320 is a wasteful number, since it uses less digits than its factorization.

131221324114320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343379713 (or 1343379707 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 131221324114320 its reverse (23411423122131), we get a palindrome (154632747236451).

The spelling of 131221324114320 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, three hundred twenty-four million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 37 40 44 48 55 60 66 74 80 88 110 111 120 132 148 165 176 185 220 222 240 264 296 330 370 407 440 444 528 555 592 660 740 814 880 888 1110 1221 1320 1480 1628 1776 2035 2220 2442 2640 2960 3256 4070 4440 4884 6105 6512 8140 8880 9768 12210 16280 19536 24420 32560 48840 97680 1343379649 2686759298 4030138947 5373518596 6716898245 8060277894 10747037192 13433796490 14777176139 16120555788 20150694735 21494074384 26867592980 29554352278 32241111576 40301389470 44331528417 49705047013 53735185960 59108704556 64482223152 73885880695 80602778940 88663056834 99410094026 107470371920 118217409112 147771761390 149115141039 161205557880 177326113668 198820188052 221657642085 236434818224 248525235065 295543522780 298230282078 322411115760 354652227336 397640376104 443315284170 497050470130 546755517143 591087045560 596460564156 709304454672 745575705195 795280752208 886630568340 994100940260 1093511034286 1182174091120 1192921128312 1491151410390 1640266551429 1773261136680 1988201880520 2187022068572 2385842256624 2733777585715 2982302820780 3280533102858 3546522273360 3976403761040 4374044137144 5467555171430 5964605641560 6561066205716 8201332757145 8748088274288 10935110342860 11929211283120 13122132411432 16402665514290 21870220685720 26244264822864 32805331028580 43740441371440 65610662057160 131221324114320