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2128551100 = 22521323257277
BaseRepresentation
bin111111011011111…
…0001110010111100
312111100020121011221
41332313301302330
513324402113400
6551114123124
7103514246224
oct17667616274
95440217157
102128551100
119a2569a45
124b4a204a4
1327bca64c0
1416299d084
15c6d06c1a
hex7edf1cbc

2128551100 has 144 divisors (see below), whose sum is σ = 5229540288. Its totient is φ = 746127360.

The previous prime is 2128551071. The next prime is 2128551137. The reversal of 2128551100 is 11558212.

It is a super-2 number, since 2×21285511002 = 9061459570622420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7684162 + ... + 7684438.

It is an arithmetic number, because the mean of its divisors is an integer number (36316252).

Almost surely, 22128551100 is an apocalyptic number.

2128551100 is a gapful number since it is divisible by the number (20) 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 2128551100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614770144).

2128551100 is an abundant number, since it is smaller than the sum of its proper divisors (3100989188).

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

2128551100 is a wasteful number, since it uses less digits than its factorization.

2128551100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 25.

The square root of 2128551100 is about 46136.2232958009. The cubic root of 2128551100 is about 1286.3565440783.

The spelling of 2128551100 in words is "two billion, one hundred twenty-eight million, five hundred fifty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 257 260 277 299 325 460 514 554 575 598 650 1028 1108 1150 1196 1285 1300 1385 1495 2300 2570 2770 2990 3341 3601 5140 5540 5911 5980 6371 6425 6682 6925 7202 7475 11822 12742 12850 13364 13850 14404 14950 16705 18005 23644 25484 25700 27700 29555 29900 31855 33410 36010 59110 63710 66820 71189 72020 76843 82823 83525 90025 118220 127420 142378 147775 153686 159275 165646 167050 180050 284756 295550 307372 318550 331292 334100 355945 360100 384215 414115 591100 637100 711890 768430 828230 925457 1423780 1536860 1637347 1656460 1779725 1850914 1921075 2070575 3274694 3559450 3701828 3842150 4141150 4627285 6549388 7118900 7684300 8186735 8282300 9254570 16373470 18509140 21285511 23136425 32746940 40933675 42571022 46272850 81867350 85142044 92545700 106427555 163734700 212855110 425710220 532137775 1064275550 2128551100