Search a number
-
+
10020131400 = 2335267249257
BaseRepresentation
bin10010101010011111…
…10001001001001000
3221212022122102012210
421111033301021020
5131010123201100
64334142105120
7503210466036
oct112517611110
927768572183
1010020131400
114282115034
121b3787b1a0
13c38c18646
146b0ac3556
153d9a37c50
hex2553f1248

10020131400 has 96 divisors (see below), whose sum is σ = 31526151840. Its totient is φ = 2632143360.

The previous prime is 10020131393. The next prime is 10020131413. The reversal of 10020131400 is 413102001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84429 + ... + 164828.

It is an arithmetic number, because the mean of its divisors is an integer number (328397415).

Almost surely, 210020131400 is an apocalyptic number.

10020131400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020131400 is an abundant number, since it is smaller than the sum of its proper divisors (21506020440).

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

10020131400 is a wasteful number, since it uses less digits than its factorization.

10020131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249343 (or 249334 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10020131400 its reverse (413102001), we get a palindrome (10433233401).

The spelling of 10020131400 in words is "ten billion, twenty million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 67 75 100 120 134 150 200 201 268 300 335 402 536 600 670 804 1005 1340 1608 1675 2010 2680 3350 4020 5025 6700 8040 10050 13400 20100 40200 249257 498514 747771 997028 1246285 1495542 1994056 2492570 2991084 3738855 4985140 5982168 6231425 7477710 9970280 12462850 14955420 16700219 18694275 24925700 29910840 33400438 37388550 49851400 50100657 66800876 74777100 83501095 100201314 133601752 149554200 167002190 200402628 250503285 334004380 400805256 417505475 501006570 668008760 835010950 1002013140 1252516425 1670021900 2004026280 2505032850 3340043800 5010065700 10020131400