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2101557312 = 2635135131
BaseRepresentation
bin111110101000011…
…0011100001000000
312102110110011200000
41331100303201000
513300444313222
6544311400000
7103035641151
oct17520634100
95373404600
102101557312
11989302128
124a7983000
1327651494a
1415d173928
15c47739ac
hex7d433840

2101557312 has 84 divisors (see below), whose sum is σ = 6246882096. Its totient is φ = 700513920.

The previous prime is 2101557281. The next prime is 2101557313. The reversal of 2101557312 is 2137551012.

2101557312 is a `hidden beast` number, since 2 + 101 + 557 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2101557313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52014 + ... + 83117.

It is an arithmetic number, because the mean of its divisors is an integer number (74367644).

Almost surely, 22101557312 is an apocalyptic number.

It is an amenable number.

2101557312 is an abundant number, since it is smaller than the sum of its proper divisors (4145324784).

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

2101557312 is an equidigital number, since it uses as much as digits as its factorization.

2101557312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135158 (or 135136 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 2101557312 is about 45842.7454675219. The cubic root of 2101557312 is about 1280.8956361839.

The spelling of 2101557312 in words is "two billion, one hundred one million, five hundred fifty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 15552 135131 270262 405393 540524 810786 1081048 1216179 1621572 2162096 2432358 3243144 3648537 4324192 4864716 6486288 7297074 8648384 9729432 10945611 12972576 14594148 19458864 21891222 25945152 29188296 32836833 38917728 43782444 58376592 65673666 77835456 87564888 116753184 131347332 175129776 233506368 262694664 350259552 525389328 700519104 1050778656 2101557312