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2171099136 = 21133111399
BaseRepresentation
bin1000000101101000…
…0101100000000000
312121022022021010010
42001122011200000
513421300133021
6555234104520
7104542016043
oct20132054000
95538267103
102171099136
11a1458aa08
1250711b140
13287a52a5b
141684b6c5a
15ca90d976
hex81685800

2171099136 has 96 divisors (see below), whose sum is σ = 5975424000. Its totient is φ = 700293120.

The previous prime is 2171099113. The next prime is 2171099141. The reversal of 2171099136 is 6319901712.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2171099094 and 2171099103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184765 + ... + 196163.

It is an arithmetic number, because the mean of its divisors is an integer number (62244000).

Almost surely, 22171099136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2171099136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987712000).

2171099136 is an abundant number, since it is smaller than the sum of its proper divisors (3804324864).

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

2171099136 is a wasteful number, since it uses less digits than its factorization.

2171099136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11455 (or 11435 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The square root of 2171099136 is about 46595.0548449082. The cubic root of 2171099136 is about 1294.8711401623.

The spelling of 2171099136 in words is "two billion, one hundred seventy-one million, ninety-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1024 1488 1536 1984 2048 2976 3072 3968 5952 6144 7936 11399 11904 15872 22798 23808 31744 34197 45596 47616 63488 68394 91192 95232 136788 182384 190464 273576 353369 364768 547152 706738 729536 1060107 1094304 1413476 1459072 2120214 2188608 2826952 2918144 4240428 4377216 5653904 5836288 8480856 8754432 11307808 11672576 16961712 17508864 22615616 23345152 33923424 35017728 45231232 67846848 70035456 90462464 135693696 180924928 271387392 361849856 542774784 723699712 1085549568 2171099136