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10112421132 = 22331123216091
BaseRepresentation
bin10010110101011111…
…10100110100001100
3222002202022012221000
421122233310310030
5131202234434012
64351240140300
7505411106232
oct113257646414
928082265830
1010112421132
11431a21a740
121b62767690
13c5208c858
146bd068952
153e2bb7ddc
hex25abf4d0c

10112421132 has 144 divisors (see below), whose sum is σ = 29900223360. Its totient is φ = 2930954400.

The previous prime is 10112421131. The next prime is 10112421161. The reversal of 10112421132 is 23112421101.

10112421132 is a `hidden beast` number, since 1 + 0 + 112 + 421 + 132 = 666.

It is a super-2 number, since 2×101124211322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10112421131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 620407 + ... + 636497.

It is an arithmetic number, because the mean of its divisors is an integer number (207640440).

Almost surely, 210112421132 is an apocalyptic number.

10112421132 is a gapful number since it is divisible by the number (12) 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 10112421132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14950111680).

10112421132 is an abundant number, since it is smaller than the sum of its proper divisors (19787802228).

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

10112421132 is a wasteful number, since it uses less digits than its factorization.

10112421132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16161 (or 16130 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10112421132 its reverse (23112421101), we get a palindrome (33224842233).

The spelling of 10112421132 in words is "ten billion, one hundred twelve million, four hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 92 99 108 132 138 198 207 253 276 297 396 414 506 529 594 621 759 828 1012 1058 1188 1242 1518 1587 2116 2277 2484 3036 3174 4554 4761 5819 6348 6831 9108 9522 11638 13662 14283 16091 17457 19044 23276 27324 28566 32182 34914 48273 52371 57132 64364 69828 96546 104742 144819 157113 177001 193092 209484 289638 314226 354002 370093 434457 531003 579276 628452 708004 740186 868914 1062006 1110279 1480372 1593009 1737828 2124012 2220558 3186018 3330837 4071023 4441116 4779027 6372036 6661674 8142046 8512139 9558054 9992511 12213069 13323348 16284092 17024278 19116108 19985022 24426138 25536417 34048556 36639207 39970044 48852276 51072834 73278414 76609251 93633529 102145668 109917621 146556828 153218502 187267058 219835242 229827753 280900587 306437004 374534116 439670484 459655506 561801174 842701761 919311012 1123602348 1685403522 2528105283 3370807044 5056210566 10112421132