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271243927100 = 225231271322871
BaseRepresentation
bin1111110010011101100…
…1011101111000111100
3221221010110022011120002
43330213121131320330
513421001421131400
6324335134413432
725411451224166
oct3744731357074
9857113264502
10271243927100
11a50411420a3
124469b061278
131c76939b163
14d1b1dbd936
1570c7d9aed5
hex3f2765de3c

271243927100 has 72 divisors (see below), whose sum is σ = 609830301696. Its totient is φ = 104609880000.

The previous prime is 271243926959. The next prime is 271243927103. The reversal of 271243927100 is 1729342172.

271243927100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2712439271002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271243927103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 678665 + ... + 1001535.

Almost surely, 2271243927100 is an apocalyptic number.

271243927100 is a gapful number since it is divisible by the number (20) 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 271243927100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304915150848).

271243927100 is an abundant number, since it is smaller than the sum of its proper divisors (338586374596).

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

271243927100 is a wasteful number, since it uses less digits than its factorization.

271243927100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323187 (or 323180 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The spelling of 271243927100 in words is "two hundred seventy-one billion, two hundred forty-three million, nine hundred twenty-seven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 271 310 542 620 775 1084 1355 1550 2710 3100 5420 6775 8401 13550 16802 27100 33604 42005 84010 168020 210025 322871 420050 645742 840100 1291484 1614355 3228710 6457420 8071775 10009001 16143550 20018002 32287100 40036004 50045005 87498041 100090010 174996082 200180020 250225025 349992164 437490205 500450050 874980410 1000900100 1749960820 2187451025 2712439271 4374902050 5424878542 8749804100 10849757084 13562196355 27124392710 54248785420 67810981775 135621963550 271243927100