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10123332120 = 23325112556397
BaseRepresentation
bin10010110110110010…
…11100101000011000
3222010111211112222200
421123121130220120
5131213033111440
64352310050200
7505602621546
oct113331345030
928114745880
1010123332120
1143253a2290
121b66349960
13c5440cc65
146c06a8d96
153e3b20c30
hex25b65ca18

10123332120 has 96 divisors (see below), whose sum is σ = 35891827920. Its totient is φ = 2454140160.

The previous prime is 10123332113. The next prime is 10123332143. The reversal of 10123332120 is 2123332101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10123332093 and 10123332102.

It is a congruent number.

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, 1274239 + ... + 1282158.

Almost surely, 210123332120 is an apocalyptic number.

10123332120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123332120 is an abundant number, since it is smaller than the sum of its proper divisors (25768495800).

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

10123332120 is a wasteful number, since it uses less digits than its factorization.

10123332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556425 (or 2556418 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10123332120 its reverse (2123332101), we get a palindrome (12246664221).

It can be divided in two parts, 10123 and 332120, that added together give a palindrome (342243).

The spelling of 10123332120 in words is "ten billion, one hundred twenty-three million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 2556397 5112794 7669191 10225588 12781985 15338382 20451176 23007573 25563970 28120367 30676764 38345955 46015146 51127940 56240734 61353528 76691910 84361101 92030292 102255880 112481468 115037865 140601835 153383820 168722202 184060584 224962936 230075730 253083303 281203670 306767640 337444404 421805505 460151460 506166606 562407340 674888808 843611010 920302920 1012333212 1124814680 1265416515 1687222020 2024666424 2530833030 3374444040 5061666060 10123332120