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10233233120 = 255116195317
BaseRepresentation
bin10011000011111001…
…01011111011100000
3222102011122002211002
421201330223323200
5131424201424440
64411233411132
7511406021615
oct114174537340
928364562732
1010233233120
114381436560
121b97109aa8
13c7110c236
146d111650c
153ed5ce115
hex261f2bee0

10233233120 has 96 divisors (see below), whose sum is σ = 26806471776. Its totient is φ = 3660134400.

The previous prime is 10233233119. The next prime is 10233233159. The reversal of 10233233120 is 2133233201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10233233092 and 10233233101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59702 + ... + 155018.

It is an arithmetic number, because the mean of its divisors is an integer number (279234081).

Almost surely, 210233233120 is an apocalyptic number.

10233233120 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 10233233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13403235888).

10233233120 is an abundant number, since it is smaller than the sum of its proper divisors (16573238656).

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

10233233120 is a wasteful number, since it uses less digits than its factorization.

10233233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95404 (or 95396 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 10233233120 its reverse (2133233201), we get a palindrome (12366466321).

The spelling of 10233233120 in words is "ten billion, two hundred thirty-three million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 61 80 88 110 122 160 176 220 244 305 352 440 488 610 671 880 976 1220 1342 1760 1952 2440 2684 3355 4880 5368 6710 9760 10736 13420 21472 26840 53680 95317 107360 190634 381268 476585 762536 953170 1048487 1525072 1906340 2096974 3050144 3812680 4193948 5242435 5814337 7625360 8387896 10484870 11628674 15250720 16775792 20969740 23257348 29071685 33551584 41939480 46514696 58143370 63957707 83878960 93029392 116286740 127915414 167757920 186058784 232573480 255830828 319788535 465146960 511661656 639577070 930293920 1023323312 1279154140 2046646624 2558308280 5116616560 10233233120