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10130004200 = 2352173498537
BaseRepresentation
bin10010110111100101…
…11001100011101000
3222010222101112100202
421123302321203220
5131221240113300
64353105051332
7506013420641
oct113362714350
928128345322
1010130004200
11432913a0a8
121b68626b48
13c55907b34
146c15246c8
153e44dcad5
hex25bcb98e8

10130004200 has 96 divisors (see below), whose sum is σ = 25012071000. Its totient is φ = 3802275840.

The previous prime is 10130004173. The next prime is 10130004221. The reversal of 10130004200 is 240003101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 4594941796 + 5535062404 = 67786^2 + 74398^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1182332 + ... + 1190868.

Almost surely, 210130004200 is an apocalyptic number.

10130004200 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 10130004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12506035500).

10130004200 is an abundant number, since it is smaller than the sum of its proper divisors (14882066800).

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

10130004200 is a wasteful number, since it uses less digits than its factorization.

10130004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8919 (or 8910 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10130004200 its reverse (240003101), we get a palindrome (10370007301).

The spelling of 10130004200 in words is "ten billion, one hundred thirty million, four thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 349 425 680 698 850 1396 1700 1745 2792 3400 3490 5933 6980 8537 8725 11866 13960 17074 17450 23732 29665 34148 34900 42685 47464 59330 68296 69800 85370 118660 145129 148325 170740 213425 237320 290258 296650 341480 426850 580516 593300 725645 853700 1161032 1186600 1451290 1707400 2902580 2979413 3628225 5805160 5958826 7256450 11917652 14512900 14897065 23835304 29025800 29794130 50650021 59588260 74485325 101300042 119176520 148970650 202600084 253250105 297941300 405200168 506500210 595882600 1013000420 1266250525 2026000840 2532501050 5065002100 10130004200