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131232100120 = 235118333710663
BaseRepresentation
bin111101000111000001…
…0101110111100011000
3110112201210100102020121
41322032002232330120
54122230404200440
6140142011203024
712324024305662
oct1721602567430
9415653312217
10131232100120
11507231101a0
1221525446474
13c4b5227b64
1464ccd93532
1536310e034a
hex1e8e0aef18

131232100120 has 128 divisors (see below), whose sum is σ = 326994071040. Its totient is φ = 47001507840.

The previous prime is 131232100039. The next prime is 131232100159. The reversal of 131232100120 is 21001232131.

It is a super-4 number, since 4×1312321001204 (a number of 46 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131232100094 and 131232100103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12301909 + ... + 12312571.

It is an arithmetic number, because the mean of its divisors is an integer number (2554641180).

Almost surely, 2131232100120 is an apocalyptic number.

131232100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131232100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163497035520).

131232100120 is an abundant number, since it is smaller than the sum of its proper divisors (195761970920).

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

131232100120 is a wasteful number, since it uses less digits than its factorization.

131232100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11105 (or 11101 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 131232100120 its reverse (21001232131), we get a palindrome (152233332251).

The spelling of 131232100120 in words is "one hundred thirty-one billion, two hundred thirty-two million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 83 88 110 166 220 332 337 415 440 664 674 830 913 1348 1660 1685 1826 2696 3320 3370 3652 3707 4565 6740 7304 7414 9130 10663 13480 14828 18260 18535 21326 27971 29656 36520 37070 42652 53315 55942 74140 85304 106630 111884 117293 139855 148280 213260 223768 234586 279710 307681 426520 469172 559420 586465 615362 885029 938344 1118840 1172930 1230724 1538405 1770058 2345860 2461448 3076810 3540116 3593431 4425145 4691720 6153620 7080232 7186862 8850290 9735319 12307240 14373724 17700580 17967155 19470638 28747448 35401160 35934310 38941276 39527741 48676595 71868620 77882552 79055482 97353190 143737240 158110964 194706380 197638705 298254773 316221928 389412760 395277410 596509546 790554820 1193019092 1491273865 1581109640 2386038184 2982547730 3280802503 5965095460 6561605006 11930190920 13123210012 16404012515 26246420024 32808025030 65616050060 131232100120