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132103231120 = 24572275231987
BaseRepresentation
bin111101100000111110…
…1110101011010010000
3110121222111112110022201
41323001331311122100
54131021411343440
6140404250412544
712354432636340
oct1730175653220
9417874473281
10132103231120
115102a914873
1221729131154
13c5c38542a3
146572956d20
15368281819a
hex1ec1f75690

132103231120 has 160 divisors (see below), whose sum is σ = 353415379968. Its totient is φ = 44984139264.

The previous prime is 132103231093. The next prime is 132103231129. The reversal of 132103231120 is 21132301231.

It is not an unprimeable number, because it can be changed into a prime (132103231129) 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, 66482767 + ... + 66484753.

Almost surely, 2132103231120 is an apocalyptic number.

132103231120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132103231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176707689984).

132103231120 is an abundant number, since it is smaller than the sum of its proper divisors (221312148848).

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

132103231120 is a wasteful number, since it uses less digits than its factorization.

132103231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 132103231120 its reverse (21132301231), we get a palindrome (153235532351).

The spelling of 132103231120 in words is "one hundred thirty-two billion, one hundred three million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 227 280 454 523 560 908 1046 1135 1589 1816 1987 2092 2270 2615 3178 3632 3661 3974 4184 4540 5230 6356 7322 7945 7948 8368 9080 9935 10460 12712 13909 14644 15890 15896 18160 18305 19870 20920 25424 27818 29288 31780 31792 36610 39740 41840 55636 58576 63560 69545 73220 79480 111272 118721 127120 139090 146440 158960 222544 237442 278180 292880 451049 474884 556360 593605 831047 902098 949768 1039201 1112720 1187210 1662094 1804196 1899536 2078402 2255245 2374420 3157343 3324188 3608392 4155235 4156804 4510490 4748840 5196005 6314686 6648376 7216784 7274407 8310470 8313608 9020980 9497680 10392010 12629372 13296752 14548814 15786715 16620940 16627216 18041960 20784020 25258744 29097628 31573430 33241880 36083920 36372035 41568040 50517488 58195256 63146860 66483760 72744070 83136080 116390512 126293720 145488140 235898627 252587440 290976280 471797254 581952560 943594508 1179493135 1651290389 1887189016 2358986270 3302580778 3774378032 4717972540 6605161556 8256451945 9435945080 13210323112 16512903890 18871890160 26420646224 33025807780 66051615560 132103231120