Search a number
-
+
132914612220 = 2235131511128499
BaseRepresentation
bin111101111001001010…
…1000000011111111100
3110201002001021212221120
41323302111000133330
54134202120042340
6141020553230540
712413514364035
oct1736225003774
9421061255846
10132914612220
1151406919465
1221914a02450
13c6c2990550
14660c605a8c
1536cdb8c4d0
hex1ef25407fc

132914612220 has 96 divisors (see below), whose sum is σ = 403443264000. Its totient is φ = 32500742400.

The previous prime is 132914612219. The next prime is 132914612221. The reversal of 132914612220 is 22216419231.

132914612220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132914612219) and next prime (132914612221).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132914612221) 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, 446470 + ... + 682029.

It is an arithmetic number, because the mean of its divisors is an integer number (4202534000).

Almost surely, 2132914612220 is an apocalyptic number.

132914612220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132914612220 is an abundant number, since it is smaller than the sum of its proper divisors (270528651780).

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

132914612220 is a wasteful number, since it uses less digits than its factorization.

132914612220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128675 (or 1128673 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 132914612220 in words is "one hundred thirty-two billion, nine hundred fourteen million, six hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 151 156 195 260 302 390 453 604 755 780 906 1510 1812 1963 2265 3020 3926 4530 5889 7852 9060 9815 11778 19630 23556 29445 39260 58890 117780 1128499 2256998 3385497 4513996 5642495 6770994 11284990 13541988 14670487 16927485 22569980 29340974 33854970 44011461 58681948 67709940 73352435 88022922 146704870 170403349 176045844 220057305 293409740 340806698 440114610 511210047 681613396 852016745 880229220 1022420094 1704033490 2044840188 2215243537 2556050235 3408066980 4430487074 5112100470 6645730611 8860974148 10224200940 11076217685 13291461222 22152435370 26582922444 33228653055 44304870740 66457306110 132914612220