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131100313320 = 23335794915271
BaseRepresentation
bin111101000011000110…
…0000000011011101000
3110112101121100221202000
41322012030000123220
54121443140011240
6140120542411000
712320534163624
oct1720614003350
9415347327660
10131100313320
1150665788889
12214a9290a60
13c493b34cc2
1464b968a184
15362475c430
hex1e863006e8

131100313320 has 128 divisors (see below), whose sum is σ = 437084640000. Its totient is φ = 34953396480.

The previous prime is 131100313277. The next prime is 131100313327. The reversal of 131100313320 is 23313001131.

It is a happy number.

131100313320 is a `hidden beast` number, since 1 + 31 + 1 + 0 + 0 + 313 + 320 = 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 = 131100313293 and 131100313302.

It is not an unprimeable number, because it can be changed into a prime (131100313327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8577285 + ... + 8592555.

It is an arithmetic number, because the mean of its divisors is an integer number (3414723750).

Almost surely, 2131100313320 is an apocalyptic number.

131100313320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131100313320 is an abundant number, since it is smaller than the sum of its proper divisors (305984326680).

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

131100313320 is a wasteful number, since it uses less digits than its factorization.

131100313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23240 (or 23230 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131100313320 its reverse (23313001131), we get a palindrome (154413314451).

The spelling of 131100313320 in words is "one hundred thirty-one billion, one hundred million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 7949 15271 15898 23847 30542 31796 39745 45813 47694 61084 63592 71541 76355 79490 91626 95388 119235 122168 137439 143082 152710 158980 183252 190776 214623 229065 238470 274878 286164 305420 317960 357705 366504 412317 429246 458130 476940 549756 572328 610840 687195 715410 824634 858492 916260 953880 1073115 1099512 1374390 1430820 1649268 1716984 1832520 2061585 2146230 2748780 2861640 3298536 4123170 4292460 5497560 8246340 8584920 16492680 121389179 242778358 364167537 485556716 606945895 728335074 971113432 1092502611 1213891790 1456670148 1820837685 2185005222 2427783580 2913340296 3277507833 3641675370 4370010444 4855567160 5462513055 6555015666 7283350740 8740020888 10925026110 13110031332 14566701480 16387539165 21850052220 26220062664 32775078330 43700104440 65550156660 131100313320