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10132123013100 = 223352111931767611
BaseRepresentation
bin1001001101110001000110…
…0101111100111111101100
31022212121210001222201221000
42103130101211330333230
52312001041442404400
633314344423440300
72064010311414234
oct223342145747754
938777701881830
1010132123013100
11325701132a330
12117780b5b6090
135865bbb1790a
1427057c554cc4
1512885e367600
hex9371197cfec

10132123013100 has 288 divisors, whose sum is σ = 35718206388480. Its totient is φ = 2443544064000.

The previous prime is 10132123013087. The next prime is 10132123013137. The reversal of 10132123013100 is 131032123101.

10132123013100 is a `hidden beast` number, since 1 + 0 + 1 + 321 + 2 + 30 + 1 + 310 + 0 = 666.

It is a super-2 number, since 2×101321230131002 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4848295 + ... + 6615905.

It is an arithmetic number, because the mean of its divisors is an integer number (124021549960).

Almost surely, 210132123013100 is an apocalyptic number.

10132123013100 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 10132123013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17859103194240).

10132123013100 is an abundant number, since it is smaller than the sum of its proper divisors (25586083375380).

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

10132123013100 is a wasteful number, since it uses less digits than its factorization.

10132123013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767838 (or 1767825 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10132123013100 its reverse (131032123101), we get a palindrome (10263155136201).

The spelling of 10132123013100 in words is "ten trillion, one hundred thirty-two billion, one hundred twenty-three million, thirteen thousand, one hundred".