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10000111120 = 245236019043
BaseRepresentation
bin10010101000000110…
…11001011000010000
3221210220222021112221
421110003121120100
5130440012023440
64332145030424
7502545353626
oct112403313020
927726867487
1010000111120
11427189054a
121b31025414
13c34a28c1c
146ac191516
153d7dd0d4a
hex2540d9610

10000111120 has 80 divisors (see below), whose sum is σ = 24304194432. Its totient is φ = 3819340800.

The previous prime is 10000111081. The next prime is 10000111123. The reversal of 10000111120 is 2111100001.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10000111123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1101319 + ... + 1110361.

Almost surely, 210000111120 is an apocalyptic number.

10000111120 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 10000111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12152097216).

10000111120 is an abundant number, since it is smaller than the sum of its proper divisors (14304083312).

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

10000111120 is a wasteful number, since it uses less digits than its factorization.

10000111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9680 (or 9674 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10000111120 its reverse (2111100001), we get a palindrome (12111211121).

The spelling of 10000111120 in words is "ten billion, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 601 920 1202 1840 2404 3005 4808 6010 9043 9616 12020 13823 18086 24040 27646 36172 45215 48080 55292 69115 72344 90430 110584 138230 144688 180860 207989 221168 276460 361720 415978 552920 723440 831956 1039945 1105840 1663912 2079890 3327824 4159780 5434843 8319560 10869686 16639120 21739372 27174215 43478744 54348430 86957488 108696860 125001389 217393720 250002778 434787440 500005556 625006945 1000011112 1250013890 2000022224 2500027780 5000055560 10000111120