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88219912131 = 33137311330469
BaseRepresentation
bin101001000101001010…
…0010000011111000011
322102201012022212122000
41102022110100133003
52421133244142011
6104305550515043
76242112611001
oct1221224203703
9272635285560
1088219912131
113446092779a
1215120805a83
13841c0b4650
1443ac729a71
152464e58356
hex148a5107c3

88219912131 has 64 divisors (see below), whose sum is σ = 143945155200. Its totient is φ = 53069893632.

The previous prime is 88219912117. The next prime is 88219912133. The reversal of 88219912131 is 13121991288.

It is not a de Polignac number, because 88219912131 - 211 = 88219910083 is a prime.

It is a super-2 number, since 2×882199121312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (88219912133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2880165 + ... + 2910633.

It is an arithmetic number, because the mean of its divisors is an integer number (2249143050).

Almost surely, 288219912131 is an apocalyptic number.

88219912131 is a deficient number, since it is larger than the sum of its proper divisors (55725243069).

88219912131 is a wasteful number, since it uses less digits than its factorization.

88219912131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30677 (or 30671 counting only the distinct ones).

The product of its digits is 62208, while the sum is 45.

The spelling of 88219912131 in words is "eighty-eight billion, two hundred nineteen million, nine hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 9 13 27 39 73 113 117 219 339 351 657 949 1017 1469 1971 2847 3051 4407 8249 8541 13221 24747 25623 30469 39663 74241 91407 107237 222723 274221 321711 396097 822663 965133 1188291 2224237 2895399 3442997 3564873 6672711 10328991 10694619 20018133 28915081 30986973 44758961 60054399 86745243 92960919 134276883 251338781 260235729 402830649 754016343 780707187 1208491947 2262049029 3267404153 6786147087 9802212459 29406637377 88219912131