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10151307420 = 22353714930689
BaseRepresentation
bin10010111010001000…
…01010100010011100
3222012110110211212220
421131010022202130
5131242213314140
64355145425340
7506362455312
oct113504124234
928173424786
1010151307420
11433a16a571
121b7379b250
13c5a1564a7
146c42ac0b2
153e62e9bd0
hex25d10a89c

10151307420 has 96 divisors (see below), whose sum is σ = 29388744000. Its totient is φ = 2616090624.

The previous prime is 10151307409. The next prime is 10151307433. The reversal of 10151307420 is 2470315101.

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, 315436 + ... + 346124.

It is an arithmetic number, because the mean of its divisors is an integer number (306132750).

Almost surely, 210151307420 is an apocalyptic number.

10151307420 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 10151307420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14694372000).

10151307420 is an abundant number, since it is smaller than the sum of its proper divisors (19237436580).

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

10151307420 is a wasteful number, since it uses less digits than its factorization.

10151307420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30887 (or 30885 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The spelling of 10151307420 in words is "ten billion, one hundred fifty-one million, three hundred seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 149 185 222 298 370 444 447 555 596 740 745 894 1110 1490 1788 2220 2235 2980 4470 5513 8940 11026 16539 22052 27565 30689 33078 55130 61378 66156 82695 92067 110260 122756 153445 165390 184134 306890 330780 368268 460335 613780 920670 1135493 1841340 2270986 3406479 4541972 4572661 5677465 6812958 9145322 11354930 13625916 13717983 17032395 18290644 22709860 22863305 27435966 34064790 45726610 54871932 68129580 68589915 91453220 137179830 169188457 274359660 338376914 507565371 676753828 845942285 1015130742 1691884570 2030261484 2537826855 3383769140 5075653710 10151307420