Search a number
-
+
10031210010 = 23251132394127
BaseRepresentation
bin10010101011110100…
…00001111000011010
3221220002111021012200
421111322001320122
5131020442210020
64335215351030
7503403610143
oct112572017032
927802437180
1010031210010
1142883a1608
121b3b522476
13c3b2c7133
146b2368aca
153da9c5590
hex255e81e1a

10031210010 has 96 divisors (see below), whose sum is σ = 26428446720. Its totient is φ = 2639583744.

The previous prime is 10031210003. The next prime is 10031210027. The reversal of 10031210010 is 1001213001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10031209974 and 10031210001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2428567 + ... + 2432693.

It is an arithmetic number, because the mean of its divisors is an integer number (275296320).

Almost surely, 210031210010 is an apocalyptic number.

10031210010 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 10031210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13214223360).

10031210010 is an abundant number, since it is smaller than the sum of its proper divisors (16397236710).

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

10031210010 is a wasteful number, since it uses less digits than its factorization.

10031210010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4492 (or 4489 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10031210010 its reverse (1001213001), we get a palindrome (11032423011).

The spelling of 10031210010 in words is "ten billion, thirty-one million, two hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 239 339 478 565 678 717 1017 1130 1195 1434 1695 2034 2151 2390 3390 3585 4127 4302 5085 7170 8254 10170 10755 12381 20635 21510 24762 27007 37143 41270 54014 61905 74286 81021 123810 135035 162042 185715 243063 270070 371430 405105 466351 486126 810210 932702 986353 1215315 1399053 1972706 2331755 2430630 2798106 2959059 4197159 4663510 4931765 5918118 6995265 8394318 8877177 9863530 13990530 14795295 17754354 20985795 29590590 41971590 44385885 88771770 111457889 222915778 334373667 557289445 668747334 1003121001 1114578890 1671868335 2006242002 3343736670 5015605005 10031210010