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2132012400 = 243527253811
BaseRepresentation
bin111111100010011…
…1110110101110000
312111120202110012020
41333010332311300
513331243344100
6551320231440
7103555543410
oct17704766560
95446673166
102132012400
119a4513521
124b600b580
1327c918acb
14163220640
15c728c5a0
hex7f13ed70

2132012400 has 120 divisors (see below), whose sum is σ = 7805226624. Its totient is φ = 487315200.

The previous prime is 2132012359. The next prime is 2132012413. The reversal of 2132012400 is 42102312.

2132012400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2132012400.

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, 118506 + ... + 135305.

Almost surely, 22132012400 is an apocalyptic number.

2132012400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132012400 is an abundant number, since it is smaller than the sum of its proper divisors (5673214224).

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

2132012400 is a wasteful number, since it uses less digits than its factorization.

2132012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253839 (or 253828 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2132012400 is about 46173.7197981709. The cubic root of 2132012400 is about 1287.0534273017.

Adding to 2132012400 its reverse (42102312), we get a palindrome (2174114712).

The spelling of 2132012400 in words is "two billion, one hundred thirty-two million, twelve thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 253811 507622 761433 1015244 1269055 1522866 1776677 2030488 2538110 3045732 3553354 3807165 4060976 5076220 5330031 6091464 6345275 7106708 7614330 8883385 10152440 10660062 12182928 12690550 14213416 15228660 17766770 19035825 20304880 21320124 25381100 26650155 28426832 30457320 35533540 38071650 42640248 44416925 50762200 53300310 60914640 71067080 76143300 85280496 88833850 101524400 106600620 133250775 142134160 152286600 177667700 213201240 266501550 304573200 355335400 426402480 533003100 710670800 1066006200 2132012400