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2132012295 = 325723113109
BaseRepresentation
bin111111100010011…
…1110110100000111
312111120202110001100
41333010332310013
513331243343140
6551320231143
7103555543200
oct17704766407
95446673040
102132012295
119a4513436
124b600b4b3
1327c918a4a
141632205a7
15c728c530
hex7f13ed07

2132012295 has 72 divisors (see below), whose sum is σ = 4314042720. Its totient is φ = 971187840.

The previous prime is 2132012251. The next prime is 2132012299. The reversal of 2132012295 is 5922102312.

It is a happy number.

It is not a de Polignac number, because 2132012295 - 218 = 2131750151 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132012299) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 684201 + ... + 687309.

It is an arithmetic number, because the mean of its divisors is an integer number (59917260).

Almost surely, 22132012295 is an apocalyptic number.

2132012295 is an abundant number, since it is smaller than the sum of its proper divisors (2182030425).

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

2132012295 is a wasteful number, since it uses less digits than its factorization.

2132012295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445 (or 3435 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2132012295 is about 46173.7186611605. The cubic root of 2132012295 is about 1287.0534061729.

It can be divided in two parts, 213201 and 2295, that added together give a triangular number (215496 = T656).

The spelling of 2132012295 in words is "two billion, one hundred thirty-two million, twelve thousand, two hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 311 315 441 735 933 1555 2177 2205 2799 3109 4665 6531 9327 10885 13995 15239 15545 19593 21763 27981 32655 45717 46635 65289 76195 97965 108815 137151 139905 152341 195867 228585 326445 457023 685755 761705 966899 979335 1371069 2285115 2900697 4834495 6768293 6855345 8702091 14503485 20304879 33841465 43510455 47378051 60914637 101524395 142134153 236890255 304573185 426402459 710670765 2132012295