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10132110021000 = 23353111013039937
BaseRepresentation
bin1001001101110001000011…
…0100011001000110001000
31022212121202011112200010010
42103130100310121012020
52312001030131133000
633314343241151520
72064010063113342
oct223342064310610
938777664480103
1010132110021000
113257004a66160
12117780718b5a0
135865b9219196
1427057a932292
1512885d14cd50
hex93710d19188

10132110021000 has 256 divisors, whose sum is σ = 34827475288320. Its totient is φ = 2431948800000.

The previous prime is 10132110020999. The next prime is 10132110021079. The reversal of 10132110021000 is 12001123101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1813032 + ... + 4852968.

It is an arithmetic number, because the mean of its divisors is an integer number (136044825345).

Almost surely, 210132110021000 is an apocalyptic number.

10132110021000 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 10132110021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17413737644160).

10132110021000 is an abundant number, since it is smaller than the sum of its proper divisors (24695365267320).

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

10132110021000 is a wasteful number, since it uses less digits than its factorization.

10132110021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040073 (or 3040059 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10132110021000 its reverse (12001123101), we get a palindrome (10144111144101).

The spelling of 10132110021000 in words is "ten trillion, one hundred thirty-two billion, one hundred ten million, twenty-one thousand".