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10031121324 = 2234710940577
BaseRepresentation
bin10010101011110011…
…01100001110101100
3221220002022202120000
421111321230032230
5131020431340244
64335213424300
7503403060450
oct112571541654
927802282500
1010031121324
114288340a14
121b3b49b090
13c3b295963
146b2344660
153da9a9169
hex255e6c3ac

10031121324 has 120 divisors (see below), whose sum is σ = 30245218080. Its totient is φ = 2839670784.

The previous prime is 10031121323. The next prime is 10031121349. The reversal of 10031121324 is 42312113001.

10031121324 is a `hidden beast` number, since 10 + 0 + 311 + 21 + 324 = 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 = 10031121297 and 10031121306.

It is not an unprimeable number, because it can be changed into a prime (10031121323) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 226924 + ... + 267500.

It is an arithmetic number, because the mean of its divisors is an integer number (252043484).

Almost surely, 210031121324 is an apocalyptic number.

10031121324 is a gapful number since it is divisible by the number (14) 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 10031121324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15122609040).

10031121324 is an abundant number, since it is smaller than the sum of its proper divisors (20214096756).

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

10031121324 is a wasteful number, since it uses less digits than its factorization.

10031121324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40709 (or 40698 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10031121324 its reverse (42312113001), we get a palindrome (52343234325).

The spelling of 10031121324 in words is "ten billion, thirty-one million, one hundred twenty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 109 126 162 189 218 252 324 327 378 436 567 654 756 763 981 1134 1308 1526 1962 2268 2289 2943 3052 3924 4578 5886 6867 8829 9156 11772 13734 17658 20601 27468 35316 40577 41202 61803 81154 82404 121731 123606 162308 243462 247212 284039 365193 486924 568078 730386 852117 1095579 1136156 1460772 1704234 2191158 2556351 3286737 3408468 4382316 4422893 5112702 6573474 7669053 8845786 10225404 13146948 13268679 15338106 17691572 23007159 26537358 30676212 30960251 39806037 46014318 53074716 61920502 79612074 92028636 92880753 119418111 123841004 159224148 185761506 238836222 278642259 358254333 371523012 477672444 557284518 716508666 835926777 1114569036 1433017332 1671853554 2507780331 3343707108 5015560662 10031121324