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10031121120 = 253520898169
BaseRepresentation
bin10010101011110011…
…01100001011100000
3221220002022202021110
421111321230023200
5131020431333440
64335213423320
7503403060036
oct112571541340
927802282243
1010031121120
114288340849
121b3b49ab40
13c3b295837
146b2344556
153da9a9080
hex255e6c2e0

10031121120 has 48 divisors (see below), whose sum is σ = 31598033040. Its totient is φ = 2674965504.

The previous prime is 10031121109. The next prime is 10031121127. The reversal of 10031121120 is 2112113001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×100311211202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10031121096 and 10031121105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031121127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10448605 + ... + 10449564.

It is an arithmetic number, because the mean of its divisors is an integer number (658292355).

Almost surely, 210031121120 is an apocalyptic number.

10031121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10031121120 is an abundant number, since it is smaller than the sum of its proper divisors (21566911920).

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

10031121120 is a wasteful number, since it uses less digits than its factorization.

10031121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20898187 (or 20898179 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10031121120 its reverse (2112113001), we get a palindrome (12143234121).

The spelling of 10031121120 in words is "ten billion, thirty-one million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 20898169 41796338 62694507 83592676 104490845 125389014 167185352 208981690 250778028 313472535 334370704 417963380 501556056 626945070 668741408 835926760 1003112112 1253890140 1671853520 2006224224 2507780280 3343707040 5015560560 10031121120