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2132103096 = 2332376471237
BaseRepresentation
bin111111100010101…
…0100111110111000
312111120221001121100
41333011110332320
513331304244341
6551322211400
7103556402004
oct17705247670
95446831540
102132103096
119a4575682
124b6053b60
1327c94b186
14163245704
15c72a93b6
hex7f154fb8

2132103096 has 96 divisors (see below), whose sum is σ = 5944479840. Its totient is φ = 689865984.

The previous prime is 2132103053. The next prime is 2132103101. The reversal of 2132103096 is 6903012312.

It is a super-2 number, since 2×21321030962 = 9091727223945570432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1722990 + ... + 1724226.

It is an arithmetic number, because the mean of its divisors is an integer number (61921665).

Almost surely, 22132103096 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 2132103096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972239920).

2132103096 is an abundant number, since it is smaller than the sum of its proper divisors (3812376744).

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

2132103096 is a wasteful number, since it uses less digits than its factorization.

2132103096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2132103096 is about 46174.7019048310. The cubic root of 2132103096 is about 1287.0716774992.

The spelling of 2132103096 in words is "two billion, one hundred thirty-two million, one hundred three thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 647 666 888 1237 1294 1332 1941 2474 2588 2664 3711 3882 4948 5176 5823 7422 7764 9896 11133 11646 14844 15528 22266 23292 23939 29688 44532 45769 46584 47878 71817 89064 91538 95756 137307 143634 183076 191512 215451 274614 287268 366152 411921 430902 549228 574536 800339 823842 861804 1098456 1600678 1647684 1723608 2401017 3201356 3295368 4802034 6402712 7203051 9604068 14406102 19208136 28812204 29612543 57624408 59225086 88837629 118450172 177675258 236900344 266512887 355350516 533025774 710701032 1066051548 2132103096