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10230196152 = 23311239281577
BaseRepresentation
bin10011000011100010…
…00110011110111000
3222101221220210212210
421201301012132320
5131422412234102
64411044335120
7511341142521
oct114161063670
928357823783
1010230196152
11437a751870
121b960a44a0
13c705b7b07
146d0965848
153ed1ce36c
hex261c467b8

10230196152 has 128 divisors (see below), whose sum is σ = 28165708800. Its totient is φ = 3070771200.

The previous prime is 10230196103. The next prime is 10230196169. The reversal of 10230196152 is 25169103201.

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, 17729688 + ... + 17730264.

It is an arithmetic number, because the mean of its divisors is an integer number (220044600).

Almost surely, 210230196152 is an apocalyptic number.

10230196152 is a gapful number since it is divisible by the number (12) 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 10230196152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14082854400).

10230196152 is an abundant number, since it is smaller than the sum of its proper divisors (17935512648).

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

10230196152 is a wasteful number, since it uses less digits than its factorization.

10230196152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

Adding to 10230196152 its reverse (25169103201), we get a palindrome (35399299353).

The spelling of 10230196152 in words is "ten billion, two hundred thirty million, one hundred ninety-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 239 264 281 478 562 577 717 843 956 1124 1154 1434 1686 1731 1912 2248 2308 2629 2868 3091 3372 3462 4616 5258 5736 6182 6347 6744 6924 7887 9273 10516 12364 12694 13848 15774 18546 19041 21032 24728 25388 31548 37092 38082 50776 63096 67159 74184 76164 134318 137903 152328 162137 201477 268636 275806 324274 402954 413709 486411 537272 551612 648548 738749 805908 827418 972822 1103224 1297096 1477498 1516933 1611816 1654836 1783507 1945644 2216247 2954996 3033866 3309672 3567014 3891288 4432494 4550799 5350521 5909992 6067732 7134028 8864988 9101598 10701042 12135464 14268056 17729976 18203196 21402084 36406392 38750743 42804168 77501486 116252229 155002972 232504458 310005944 426258173 465008916 852516346 930017832 1278774519 1705032692 2557549038 3410065384 5115098076 10230196152