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2142103964 = 22711131912801
BaseRepresentation
bin111111110101101…
…1110100110011100
312112021202011012212
41333223132212130
513341334311324
6552320415552
7104040404030
oct17753364634
95467664185
102142103964
119aa186460
124b94775b8
13281a40250
141646ca1c0
15c80d270e
hex7fade99c

2142103964 has 96 divisors (see below), whose sum is σ = 5061353472. Its totient is φ = 766080000.

The previous prime is 2142103939. The next prime is 2142103987. The reversal of 2142103964 is 4693012412.

It is a self number, because there is not a number n which added to its sum of digits gives 2142103964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 763364 + ... + 766164.

It is an arithmetic number, because the mean of its divisors is an integer number (52722432).

Almost surely, 22142103964 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 2142103964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530676736).

2142103964 is an abundant number, since it is smaller than the sum of its proper divisors (2919249508).

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

2142103964 is a wasteful number, since it uses less digits than its factorization.

2142103964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3027 (or 3025 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 2142103964 is about 46282.8690121950. The cubic root of 2142103964 is about 1289.0809237792.

The spelling of 2142103964 in words is "two billion, one hundred forty-two million, one hundred three thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 191 286 308 364 382 572 764 1001 1337 2002 2101 2483 2674 2801 4004 4202 4966 5348 5602 8404 9932 11204 14707 17381 19607 27313 29414 30811 34762 36413 39214 54626 58828 61622 69524 72826 78428 109252 123244 145652 191191 215677 254891 382382 400543 431354 509782 534991 764764 801086 862708 1019564 1069982 1602172 2139964 2803801 3744937 5607602 5884901 6954883 7489874 11215204 11769802 13909766 14979748 23539604 27819532 41194307 48684181 76503713 82388614 97368362 153007426 164777228 194736724 306014852 535525991 1071051982 2142103964