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10307251290 = 23571923311087
BaseRepresentation
bin10011001100101110…
…00010110001011010
3222121022220121122210
421212113002301122
5132102124020130
64422440055550
7513265122210
oct114627026132
928538817583
1010307251290
11440a1a14a6
121bb7a645b6
13c8355697b
146daca2cb0
15404d505b0
hex2665c2c5a

10307251290 has 128 divisors (see below), whose sum is σ = 29889699840. Its totient is φ = 2222166528.

The previous prime is 10307251261. The next prime is 10307251291. The reversal of 10307251290 is 9215270301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10307251291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 924127 + ... + 935213.

It is an arithmetic number, because the mean of its divisors is an integer number (233513280).

Almost surely, 210307251290 is an apocalyptic number.

10307251290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10307251290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14944849920).

10307251290 is an abundant number, since it is smaller than the sum of its proper divisors (19582448550).

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

10307251290 is a wasteful number, since it uses less digits than its factorization.

10307251290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11356.

The product of its (nonzero) digits is 3780, while the sum is 30.

The spelling of 10307251290 in words is "ten billion, three hundred seven million, two hundred fifty-one thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 233 266 285 399 466 570 665 699 798 1165 1330 1398 1631 1995 2330 3262 3495 3990 4427 4893 6990 8155 8854 9786 11087 13281 16310 22135 22174 24465 26562 30989 33261 44270 48930 55435 61978 66405 66522 77609 92967 110870 132810 154945 155218 166305 185934 210653 232827 309890 332610 388045 421306 464835 465654 631959 776090 929670 1053265 1164135 1263918 1474571 2106530 2328270 2583271 2949142 3159795 4423713 5166542 6319590 7372855 7749813 8847426 12916355 14745710 15499626 18082897 22118565 25832710 36165794 38749065 44237130 49082149 54248691 77498130 90414485 98164298 108497382 147246447 180828970 245410745 271243455 294492894 343575043 490821490 542486910 687150086 736232235 1030725129 1472464470 1717875215 2061450258 3435750430 5153625645 10307251290