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106320261250 = 254727612281
BaseRepresentation
bin110001100000100101…
…1100111000010000010
3101011102122022212202201
41203001023213002002
53220220441330000
6120502020103414
710452500211100
oct1430113470202
9334378285681
10106320261250
11410aa019a05
1218732534b6a
13a04504b5b8
1452085d8c70
152b7403496a
hex18c12e7082

106320261250 has 120 divisors (see below), whose sum is σ = 232229697084. Its totient is φ = 36388800000.

The previous prime is 106320261247. The next prime is 106320261277. The reversal of 106320261250 is 52162023601.

It can be written as a sum of positive squares in 10 ways, for example, as 33874770601 + 72445490649 = 184051^2 + 269157^2 .

It is a super-2 number, since 2×1063202612502 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 46610110 + ... + 46612390.

Almost surely, 2106320261250 is an apocalyptic number.

106320261250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106320261250 is an abundant number, since it is smaller than the sum of its proper divisors (125909435834).

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

106320261250 is an equidigital number, since it uses as much as digits as its factorization.

106320261250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 106320261250 its reverse (52162023601), we get a palindrome (158482284851).

The spelling of 106320261250 in words is "one hundred six billion, three hundred twenty million, two hundred sixty-one thousand, two hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 125 175 245 250 350 490 625 761 875 1225 1250 1522 1750 2281 2450 3805 4375 4562 5327 6125 7610 8750 10654 11405 12250 15967 19025 22810 26635 30625 31934 37289 38050 53270 57025 61250 74578 79835 95125 111769 114050 133175 159670 186445 190250 223538 266350 285125 372890 399175 475625 558845 570250 665875 798350 932225 951250 1117690 1331750 1425625 1735841 1864450 1995875 2794225 2851250 3329375 3471682 3991750 4661125 5588450 6658750 8679205 9322250 9979375 12150887 13971125 17358410 19958750 23305625 24301774 27942250 43396025 46611250 60754435 69855625 85056209 86792050 121508870 139711250 170112418 216980125 303772175 425281045 433960250 607544350 850562090 1084900625 1518860875 2126405225 2169801250 3037721750 4252810450 7594304375 10632026125 15188608750 21264052250 53160130625 106320261250