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10151405320 = 235770151719
BaseRepresentation
bin10010111010001001…
…00010011100001000
3222012110122211011211
421131010202130020
5131242224432240
64355151502504
7506363343610
oct113504423410
928173584154
1010151405320
11433a227081
121b73827a34
13c5a18bc14
146c42d5a40
153e6318bea
hex25d122708

10151405320 has 64 divisors (see below), whose sum is σ = 26141356800. Its totient is φ = 3475449600.

The previous prime is 10151405249. The next prime is 10151405323. The reversal of 10151405320 is 2350415101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10151405291 and 10151405300.

It is not an unprimeable number, because it can be changed into a prime (10151405323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170421 + ... + 222139.

It is an arithmetic number, because the mean of its divisors is an integer number (408458700).

Almost surely, 210151405320 is an apocalyptic number.

10151405320 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 10151405320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13070678400).

10151405320 is an abundant number, since it is smaller than the sum of its proper divisors (15989951480).

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

10151405320 is a wasteful number, since it uses less digits than its factorization.

10151405320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52438 (or 52434 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The spelling of 10151405320 in words is "ten billion, one hundred fifty-one million, four hundred five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 701 1402 2804 3505 4907 5608 7010 9814 14020 19628 24535 28040 39256 49070 51719 98140 103438 196280 206876 258595 362033 413752 517190 724066 1034380 1448132 1810165 2068760 2896264 3620330 7240660 14481320 36255019 72510038 145020076 181275095 253785133 290040152 362550190 507570266 725100380 1015140532 1268925665 1450200760 2030281064 2537851330 5075702660 10151405320