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2125732312 = 23111923167331
BaseRepresentation
bin111111010110100…
…0001100111011000
312111010221101112101
41332231001213120
513323141413222
6550533453144
7103451266204
oct17655014730
95433841471
102125732312
119a0a14170
124b3aa11b4
1327b52a492
14162467b04
15c694b927
hex7eb419d8

2125732312 has 128 divisors (see below), whose sum is σ = 4819046400. Its totient is φ = 867715200.

The previous prime is 2125732291. The next prime is 2125732327. The reversal of 2125732312 is 2132375212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6421987 + ... + 6422317.

It is an arithmetic number, because the mean of its divisors is an integer number (37648800).

Almost surely, 22125732312 is an apocalyptic number.

2125732312 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 2125732312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409523200).

2125732312 is an abundant number, since it is smaller than the sum of its proper divisors (2693314088).

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

2125732312 is a wasteful number, since it uses less digits than its factorization.

2125732312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 553 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 2125732312 is about 46105.6646411263. The cubic root of 2125732312 is about 1285.7884631019.

It can be divided in two parts, 2125 and 732312, that added together give a palindrome (734437).

The spelling of 2125732312 in words is "two billion, one hundred twenty-five million, seven hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 11 19 22 23 38 44 46 76 88 92 152 167 184 209 253 331 334 418 437 506 662 668 836 874 1012 1324 1336 1672 1748 1837 2024 2648 3173 3496 3641 3674 3841 4807 6289 6346 7282 7348 7613 7682 9614 12578 12692 14564 14696 15226 15364 19228 25156 25384 29128 30452 30728 34903 38456 42251 50312 55277 60904 69179 69806 72979 83743 84502 110554 138358 139612 144647 145958 167486 169004 221108 276716 279224 289294 291916 334972 338008 442216 553432 578588 583832 608047 669944 802769 1050263 1157176 1216094 1271371 1591117 1605538 2100526 2432188 2542742 3182234 3211076 4201052 4864376 5085484 6364468 6422152 8402104 10170968 11552893 12728936 13985081 23105786 24156049 27970162 46211572 48312098 55940324 92423144 96624196 111880648 193248392 265716539 531433078 1062866156 2125732312