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10210232100120 = 23351314094645153
BaseRepresentation
bin1001010010010100000101…
…0000011110010100011000
31100011002101122000110221220
42110211001100132110120
52314241023404200440
633414303232332040
72102444032614063
oct224450120362430
940132348013856
1010210232100120
113287153927508
12118a98a0a4020
13590a8927acc0
1427426c10d8da
1512a8d18208d0
hex9494141e518

10210232100120 has 128 divisors (see below), whose sum is σ = 33010322385600. Its totient is φ = 2511503622144.

The previous prime is 10210232100067. The next prime is 10210232100137. The reversal of 10210232100120 is 2100123201201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10210232100120.

It is a congruent number.

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, 124537 + ... + 4520616.

Almost surely, 210210232100120 is an apocalyptic number.

10210232100120 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 10210232100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16505161192800).

10210232100120 is an abundant number, since it is smaller than the sum of its proper divisors (22800090285480).

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

10210232100120 is a wasteful number, since it uses less digits than its factorization.

10210232100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4646589 (or 4646585 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10210232100120 its reverse (2100123201201), we get a palindrome (12310355301321).

The spelling of 10210232100120 in words is "ten trillion, two hundred ten billion, two hundred thirty-two million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1409 1560 2818 4227 5636 7045 8454 11272 14090 16908 18317 21135 28180 33816 36634 42270 54951 56360 73268 84540 91585 109902 146536 169080 183170 219804 274755 366340 439608 549510 732680 1099020 2198040 4645153 9290306 13935459 18580612 23225765 27870918 37161224 46451530 55741836 60386989 69677295 92903060 111483672 120773978 139354590 181160967 185806120 241547956 278709180 301934945 362321934 483095912 557418360 603869890 724643868 905804835 1207739780 1449287736 1811609670 2415479560 3623219340 6545020577 7246438680 13090041154 19635061731 26180082308 32725102885 39270123462 52360164616 65450205770 78540246924 85085267501 98175308655 130900411540 157080493848 170170535002 196350617310 255255802503 261800823080 340341070004 392701234620 425426337505 510511605006 680682140008 785402469240 850852675010 1021023210012 1276279012515 1701705350020 2042046420024 2552558025030 3403410700040 5105116050060 10210232100120