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132201021100 = 225229131347989
BaseRepresentation
bin111101100011111001…
…0110111111010101100
3110122020022112200221211
41323013302313322230
54131221430133400
6140422102404204
712360031065331
oct1730762677254
9418208480854
10132201021100
1151080036935
1221755a30664
13c60aba2b95
146581930988
15368b1d2dba
hex1ec7cb7eac

132201021100 has 72 divisors (see below), whose sum is σ = 299034766800. Its totient is φ = 50667052800.

The previous prime is 132201021097. The next prime is 132201021119. The reversal of 132201021100 is 1120102231.

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, 205906 + ... + 553894.

It is an arithmetic number, because the mean of its divisors is an integer number (4153260650).

Almost surely, 2132201021100 is an apocalyptic number.

132201021100 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 132201021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149517383400).

132201021100 is an abundant number, since it is smaller than the sum of its proper divisors (166833745700).

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

132201021100 is a wasteful number, since it uses less digits than its factorization.

132201021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348163 (or 348156 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 132201021100 its reverse (1120102231), we get a palindrome (133321123331).

The spelling of 132201021100 in words is "one hundred thirty-two billion, two hundred one million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 131 145 262 290 524 580 655 725 1310 1450 2620 2900 3275 3799 6550 7598 13100 15196 18995 37990 75980 94975 189950 347989 379900 695978 1391956 1739945 3479890 6959780 8699725 10091681 17399450 20183362 34798900 40366724 45586559 50458405 91173118 100916810 182346236 201833620 227932795 252292025 455865590 504584050 911731180 1009168100 1139663975 1322010211 2279327950 2644020422 4558655900 5288040844 6610051055 13220102110 26440204220 33050255275 66100510550 132201021100