Search a number
-
+
10000102320 = 2433513356129
BaseRepresentation
bin10010101000000110…
…10111001110110000
3221210220221211111000
421110003113032300
5130440011233240
64332144522000
7502545316155
oct112403271660
927726854430
1010000102320
11427188497a
121b31020300
13c34a24c10
146ac18c22c
153d7dcd430
hex2540d73b0

10000102320 has 160 divisors (see below), whose sum is σ = 37094500800. Its totient is φ = 2461556736.

The previous prime is 10000102313. The next prime is 10000102327. The reversal of 10000102320 is 2320100001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10000102313) and next prime (10000102327).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10000102327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149985 + ... + 206144.

It is an arithmetic number, because the mean of its divisors is an integer number (231840630).

Almost surely, 210000102320 is an apocalyptic number.

10000102320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000102320 is an abundant number, since it is smaller than the sum of its proper divisors (27094398480).

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

10000102320 is a wasteful number, since it uses less digits than its factorization.

10000102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356164 (or 356152 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10000102320 its reverse (2320100001), we get a palindrome (12320202321).

The spelling of 10000102320 in words is "ten billion, one hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4680 5616 7020 9360 14040 28080 356129 712258 1068387 1424516 1780645 2136774 2849032 3205161 3561290 4273548 4629677 5341935 5698064 6410322 7122580 8547096 9259354 9615483 10683870 12820644 13889031 14245160 16025805 17094192 18518708 19230966 21367740 23148385 25641288 27778062 28490320 32051610 37037416 38461932 41667093 42735480 46296770 48077415 51282576 55556124 64103220 69445155 74074832 76923864 83334186 85470960 92593540 96154830 111112248 125001279 128206440 138890310 153847728 166668372 185187080 192309660 208335465 222224496 250002558 256412880 277780620 333336744 370374160 384619320 416670930 500005116 555561240 625006395 666673488 769238640 833341860 1000010232 1111122480 1250012790 1666683720 2000020464 2500025580 3333367440 5000051160 10000102320