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231132032100 = 223252256813369
BaseRepresentation
bin1101011101000010001…
…0101110110001100100
3211002120222200202222100
43113100202232301210
512241324300011400
6254103001332100
722461444566664
oct3272042566144
9732528622870
10231132032100
118a028008752
1238965797030
1318a4609bb48
14b288a061a4
15602b660100
hex35d08aec64

231132032100 has 54 divisors (see below), whose sum is σ = 724470516770. Its totient is φ = 61635208320.

The previous prime is 231132032099. The next prime is 231132032129. The reversal of 231132032100 is 1230231132.

231132032100 is a `hidden beast` number, since 2 + 311 + 32 + 0 + 321 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 42225318144 + 188906713956 = 205488^2 + 434634^2 .

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 17 ways as a sum of consecutive naturals, for example, 128405785 + ... + 128407584.

Almost surely, 2231132032100 is an apocalyptic number.

231132032100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231132032100 is an abundant number, since it is smaller than the sum of its proper divisors (493338484670).

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

231132032100 is a wasteful number, since it uses less digits than its factorization.

231132032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256813389 (or 256813379 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 231132032100 its reverse (1230231132), we get a palindrome (232362263232).

The spelling of 231132032100 in words is "two hundred thirty-one billion, one hundred thirty-two million, thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 256813369 513626738 770440107 1027253476 1284066845 1540880214 2311320321 2568133690 3081760428 3852200535 4622640642 5136267380 6420334225 7704401070 9245281284 11556601605 12840668450 15408802140 19261002675 23113203210 25681336900 38522005350 46226406420 57783008025 77044010700 115566016050 231132032100