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10132132404312 = 2332140724061171
BaseRepresentation
bin1001001101110001001000…
…1001110001110001011000
31022212121210201122212020200
42103130102021301301120
52312001101343414222
633314345401022200
72064010454266662
oct223342211616130
938777721585220
1010132132404312
113257016664066
121177812784960
135865c0a55349
1427057d8bb532
151288600beeac
hex93712271c58

10132132404312 has 24 divisors (see below), whose sum is σ = 27441191928540. Its totient is φ = 3377377468080.

The previous prime is 10132132404301. The next prime is 10132132404323. The reversal of 10132132404312 is 21340423123101.

10132132404312 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 21 + 324 + 0 + 4 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (10132132404301) and next prime (10132132404323).

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70362030514 + ... + 70362030657.

Almost surely, 210132132404312 is an apocalyptic number.

10132132404312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10132132404312 is an abundant number, since it is smaller than the sum of its proper divisors (17309059524228).

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

10132132404312 is a wasteful number, since it uses less digits than its factorization.

10132132404312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140724061183 (or 140724061176 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10132132404312 its reverse (21340423123101), we get a palindrome (31472555527413).

The spelling of 10132132404312 in words is "ten trillion, one hundred thirty-two billion, one hundred thirty-two million, four hundred four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 140724061171 281448122342 422172183513 562896244684 844344367026 1125792489368 1266516550539 1688688734052 2533033101078 3377377468104 5066066202156 10132132404312