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132031112100 = 223521979293207
BaseRepresentation
bin111101011110110101…
…0101110001110100100
3110121210110211102121220
41322331222232032210
54130344431041400
6140353152540340
712352565635656
oct1727552561644
9417713742556
10132031112100
1150aa3136778
1221708b516b0
13c5b1923104
1465671426d6
15367b31e7a0
hex1ebdaae3a4

132031112100 has 144 divisors (see below), whose sum is σ = 407207270400. Its totient is φ = 32932897920.

The previous prime is 132031112099. The next prime is 132031112131. The reversal of 132031112100 is 1211130231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132031112100.

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, 303697 + ... + 596903.

Almost surely, 2132031112100 is an apocalyptic number.

132031112100 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 132031112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203603635200).

132031112100 is an abundant number, since it is smaller than the sum of its proper divisors (275176158300).

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

132031112100 is a wasteful number, since it uses less digits than its factorization.

132031112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293322 (or 293315 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 132031112100 its reverse (1211130231), we get a palindrome (133242242331).

The spelling of 132031112100 in words is "one hundred thirty-two billion, thirty-one million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 79 95 100 114 150 158 190 228 237 285 300 316 380 395 474 475 570 790 948 950 1140 1185 1425 1501 1580 1900 1975 2370 2850 3002 3950 4503 4740 5700 5925 6004 7505 7900 9006 11850 15010 18012 22515 23700 30020 37525 45030 75050 90060 112575 150100 225150 293207 450300 586414 879621 1172828 1466035 1759242 2932070 3518484 4398105 5570933 5864140 7330175 8796210 11141866 14660350 16712799 17592420 21990525 22283732 23163353 27854665 29320700 33425598 43981050 46326706 55709330 66851196 69490059 83563995 87962100 92653412 111418660 115816765 138980118 139273325 167127990 231633530 277960236 278546650 334255980 347450295 417819975 440103707 463267060 557093300 579083825 694900590 835639950 880207414 1158167650 1320311121 1389801180 1671279900 1737251475 1760414828 2200518535 2316335300 2640622242 3474502950 4401037070 5281244484 6601555605 6949005900 8802074140 11002592675 13203111210 22005185350 26406222420 33007778025 44010370700 66015556050 132031112100