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10132100312220 = 2232556289446179
BaseRepresentation
bin1001001101110001000000…
…1111010110110010011100
31022212121201111021102011200
42103130100033112302130
52312001020134442340
633314342253115500
72064006614436015
oct223342017266234
938777644242150
1010132100312220
113256aaa534877
121177803a88b90
135865b71ca043
1427057952600c
1512885c381330
hex937103d6c9c

10132100312220 has 36 divisors (see below), whose sum is σ = 30734037614280. Its totient is φ = 2701893416544.

The previous prime is 10132100312161. The next prime is 10132100312221. The reversal of 10132100312220 is 2221300123101.

10132100312220 is a `hidden beast` number, since 1 + 0 + 1 + 32 + 100 + 312 + 220 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 10132100312193 and 10132100312202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132100312221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28144722910 + ... + 28144723269.

Almost surely, 210132100312220 is an apocalyptic number.

10132100312220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132100312220 is an abundant number, since it is smaller than the sum of its proper divisors (20601937302060).

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

10132100312220 is a wasteful number, since it uses less digits than its factorization.

10132100312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56289446194 (or 56289446189 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10132100312220 its reverse (2221300123101), we get a palindrome (12353400435321).

The spelling of 10132100312220 in words is "ten trillion, one hundred thirty-two billion, one hundred million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 56289446179 112578892358 168868338537 225157784716 281447230895 337736677074 506605015611 562894461790 675473354148 844341692685 1013210031222 1125788923580 1688683385370 2026420062444 2533025078055 3377366770740 5066050156110 10132100312220