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2151006132 = 22311157271383
BaseRepresentation
bin1000000000110101…
…1011111110110100
312112220111102200210
42000031123332310
513401124144012
6553235305420
7104206151622
oct20015337664
95486442623
102151006132
11a04206820
1250044b270
132838391c2
14165966512
15c8c9023c
hex8035bfb4

2151006132 has 96 divisors (see below), whose sum is σ = 5544935424. Its totient is φ = 643593600.

The previous prime is 2151006119. The next prime is 2151006139. The reversal of 2151006132 is 2316001512.

2151006132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2151006099 and 2151006108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151006139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5616013 + ... + 5616395.

It is an arithmetic number, because the mean of its divisors is an integer number (57759744).

Almost surely, 22151006132 is an apocalyptic number.

2151006132 is a gapful number since it is divisible by the number (22) 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 2151006132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772467712).

2151006132 is an abundant number, since it is smaller than the sum of its proper divisors (3393929292).

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

2151006132 is a wasteful number, since it uses less digits than its factorization.

2151006132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2151006132 is about 46378.9406088582. The cubic root of 2151006132 is about 1290.8641790793.

Adding to 2151006132 its reverse (2316001512), we get a palindrome (4467007644).

The spelling of 2151006132 in words is "two billion, one hundred fifty-one million, six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 157 271 314 383 471 542 628 766 813 942 1084 1149 1532 1626 1727 1884 2298 2981 3252 3454 4213 4596 5181 5962 6908 8426 8943 10362 11924 12639 16852 17886 20724 25278 35772 42547 50556 60131 85094 103793 120262 127641 170188 180393 207586 240524 255282 311379 360786 415172 468017 510564 622758 661441 721572 936034 1141723 1245516 1322882 1404051 1872068 1984323 2283446 2645764 2808102 3425169 3968646 4566892 5616204 6850338 7937292 13700676 16295501 32591002 48886503 65182004 97773006 179250511 195546012 358501022 537751533 717002044 1075503066 2151006132