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1332013332100 = 22521110511152161
BaseRepresentation
bin10011011000100010001…
…011100111011010000100
311201100011022002020000211
4103120202023213122010
5133310430403111400
62455530220245204
7165143350340203
oct23304213473204
94640138066024
101332013332100
114739a3889450
121961a06a0804
13987ba623cb9
144868115d23a
15249ae696dba
hex136222e7684

1332013332100 has 72 divisors (see below), whose sum is σ = 3156241800096. Its totient is φ = 483907200000.

The previous prime is 1332013332073. The next prime is 1332013332121. The reversal of 1332013332100 is 12333102331.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 580020 + ... + 1732180.

It is an arithmetic number, because the mean of its divisors is an integer number (43836691668).

Almost surely, 21332013332100 is an apocalyptic number.

1332013332100 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 1332013332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578120900048).

1332013332100 is an abundant number, since it is smaller than the sum of its proper divisors (1824228467996).

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

1332013332100 is a wasteful number, since it uses less digits than its factorization.

1332013332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153237 (or 1153230 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1332013332100 its reverse (12333102331), we get a palindrome (1344346434431).

The spelling of 1332013332100 in words is "one trillion, three hundred thirty-two billion, thirteen million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1051 1100 2102 4204 5255 10510 11561 21020 23122 26275 46244 52550 57805 105100 115610 231220 289025 578050 1152161 1156100 2304322 4608644 5760805 11521610 12673771 23043220 25347542 28804025 50695084 57608050 63368855 115216100 126737710 253475420 316844275 633688550 1210921211 1267377100 2421842422 4843684844 6054606055 12109212110 13320133321 24218424220 26640266642 30273030275 53280533284 60546060550 66600666605 121092121100 133201333210 266402666420 333003333025 666006666050 1332013332100