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211340101443400 = 23529929106425673
BaseRepresentation
bin110000000011011001110011…
…101011000101111101001000
31000201021220202001011011022101
4300003121303223011331020
5210200044011432142100
62025252145143203144
762341550505210616
oct6003316353057510
91021256661134271
10211340101443400
1161380919704516
121b8531644464b4
1390c03945c1867
143a28cb61546b6
15196769377b86a
hexc03673ac5f48

211340101443400 has 48 divisors (see below), whose sum is σ = 491415228411300. Its totient is φ = 84527525729280.

The previous prime is 211340101443349. The next prime is 211340101443421. The reversal of 211340101443400 is 4344101043112.

It can be written as a sum of positive squares in 6 ways, for example, as 108655481354436 + 102684620088964 = 10423794^2 + 10133342^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51227037 + ... + 55198636.

Almost surely, 2211340101443400 is an apocalyptic number.

211340101443400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211340101443400 is an abundant number, since it is smaller than the sum of its proper divisors (280075126967900).

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

211340101443400 is a wasteful number, since it uses less digits than its factorization.

211340101443400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106435618 (or 106435609 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 211340101443400 its reverse (4344101043112), we get a palindrome (215684202486512).

The spelling of 211340101443400 in words is "two hundred eleven trillion, three hundred forty billion, one hundred one million, four hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 9929 19858 39716 49645 79432 99290 198580 248225 397160 496450 992900 1985800 106425673 212851346 425702692 532128365 851405384 1064256730 2128513460 2660641825 4257026920 5321283650 10642567300 21285134600 1056700507217 2113401014434 4226802028868 5283502536085 8453604057736 10567005072170 21134010144340 26417512680425 42268020288680 52835025360850 105670050721700 211340101443400