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10223300120 = 2351134766959
BaseRepresentation
bin10011000010101101…
…10010111000011000
3222101110221110022012
421201112302320120
5131414131100440
64410240445052
7511225421465
oct114126627030
928343843265
1010223300120
114376871770
121b93919788
13c6c042017
146cda8c66c
153ec7bae65
hex2615b2e18

10223300120 has 64 divisors (see below), whose sum is σ = 25166246400. Its totient is φ = 3706794880.

The previous prime is 10223300099. The next prime is 10223300141. The reversal of 10223300120 is 2100332201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10223300099) and next prime (10223300141).

It is a junction number, because it is equal to n+sod(n) for n = 10223300095 and 10223300104.

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, 119201 + ... + 186159.

It is an arithmetic number, because the mean of its divisors is an integer number (393222600).

Almost surely, 210223300120 is an apocalyptic number.

10223300120 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 10223300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12583123200).

10223300120 is an abundant number, since it is smaller than the sum of its proper divisors (14942946280).

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

10223300120 is a wasteful number, since it uses less digits than its factorization.

10223300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67328 (or 67324 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10223300120 its reverse (2100332201), we get a palindrome (12323632321).

The spelling of 10223300120 in words is "ten billion, two hundred twenty-three million, three hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 347 440 694 1388 1735 2776 3470 3817 6940 7634 13880 15268 19085 30536 38170 66959 76340 133918 152680 267836 334795 535672 669590 736549 1339180 1473098 2678360 2946196 3682745 5892392 7365490 14730980 23234773 29461960 46469546 92939092 116173865 185878184 232347730 255582503 464695460 511165006 929390920 1022330012 1277912515 2044660024 2555825030 5111650060 10223300120