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102233000210120 = 235134432371187177
BaseRepresentation
bin10111001111101011111001…
…101010010110111011001000
3111101222101020120011102200122
4113033223321222112323020
5101344441141023210440
61001233105242522412
730351043022562413
oct2717537152267310
9441871216142618
10102233000210120
112a63585445648a
12b571534b06408
1345076b881a620
141b3616444ab7a
15bc44ace317b5
hex5cfaf9a96ec8

102233000210120 has 128 divisors (see below), whose sum is σ = 248383648679040. Its totient is φ = 37646274631680.

The previous prime is 102233000210119. The next prime is 102233000210149. The reversal of 102233000210120 is 21012000332201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546089972 + ... + 546277148.

It is an arithmetic number, because the mean of its divisors is an integer number (1940497255305).

Almost surely, 2102233000210120 is an apocalyptic number.

102233000210120 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 102233000210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124191824339520).

102233000210120 is an abundant number, since it is smaller than the sum of its proper divisors (146150648468920).

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

102233000210120 is a wasteful number, since it uses less digits than its factorization.

102233000210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190015 (or 190011 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102233000210120 its reverse (21012000332201), we get a palindrome (123245000542321).

The spelling of 102233000210120 in words is "one hundred two trillion, two hundred thirty-three billion, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 443 520 886 1772 2215 2371 3544 4430 4742 5759 8860 9484 11518 11855 17720 18968 23036 23710 28795 30823 46072 47420 57590 61646 94840 115180 123292 154115 187177 230360 246584 308230 374354 616460 748708 935885 1050353 1232920 1497416 1871770 2100706 2433301 3743540 4201412 4866602 5251765 7487080 8402824 9733204 10503530 12166505 13654589 19466408 21007060 24333010 27309178 42014120 48666020 54618356 68272945 82919411 97332040 109236712 136545890 165838822 273091780 331677644 414597055 443796667 546183560 663355288 829194110 887593334 1077952343 1658388220 1775186668 2155904686 2218983335 3316776440 3550373336 4311809372 4437966670 5389761715 5769356671 8623618744 8875933340 10779523430 11538713342 17751866680 21559046860 23077426684 28846783355 43118093720 46154853368 57693566710 115387133420 196601923481 230774266840 393203846962 786407693924 983009617405 1572815387848 1966019234810 2555825005253 3932038469620 5111650010506 7864076939240 10223300021012 12779125026265 20446600042024 25558250052530 51116500105060 102233000210120