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131023321320 = 23351967857707
BaseRepresentation
bin111101000000110011…
…0010011100011101000
3110112012020111100120110
41322001212103203220
54121313432240240
6140105152254320
712315610566303
oct1720146234350
9415166440513
10131023321320
1150626281631
12214875413a0
13c480bb8ac8
1464ad367b3a
15361caeec80
hex1e819938e8

131023321320 has 128 divisors (see below), whose sum is σ = 419933836800. Its totient is φ = 32606551296.

The previous prime is 131023321313. The next prime is 131023321337. The reversal of 131023321320 is 23123320131.

It is a super-2 number, since 2×1310233213202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276094 + ... + 581613.

It is an arithmetic number, because the mean of its divisors is an integer number (3280733100).

Almost surely, 2131023321320 is an apocalyptic number.

131023321320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131023321320 is an abundant number, since it is smaller than the sum of its proper divisors (288910515480).

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

131023321320 is a wasteful number, since it uses less digits than its factorization.

131023321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857807 (or 857803 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 131023321320 its reverse (23123320131), we get a palindrome (154146641451).

The spelling of 131023321320 in words is "one hundred thirty-one billion, twenty-three million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 67 76 95 114 120 134 152 190 201 228 268 285 335 380 402 456 536 570 670 760 804 1005 1140 1273 1340 1608 2010 2280 2546 2680 3819 4020 5092 6365 7638 8040 10184 12730 15276 19095 25460 30552 38190 50920 76380 152760 857707 1715414 2573121 3430828 4288535 5146242 6861656 8577070 10292484 12865605 16296433 17154140 20584968 25731210 32592866 34308280 48889299 51462420 57466369 65185732 81482165 97778598 102924840 114932738 130371464 162964330 172399107 195557196 229865476 244446495 287331845 325928660 344798214 391114392 459730952 488892990 574663690 651857320 689596428 861995535 977785980 1091861011 1149327380 1379192856 1723991070 1955571960 2183722022 2298654760 3275583033 3447982140 4367444044 5459305055 6551166066 6895964280 8734888088 10918610110 13102332132 16377915165 21837220220 26204664264 32755830330 43674440440 65511660660 131023321320