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21123222411340 = 22572206310448041
BaseRepresentation
bin1001100110110001000100…
…01010110001100001001100
32202210100201200120222222101
410303120202022301201030
510232040324414130330
6112531512512324444
74310050100004400
oct463304212614114
982710650528871
1021123222411340
116804343408415
1224519a4543724
13ba2bb02512ba
1453052598b100
152696e442b4ca
hex1336222b184c

21123222411340 has 72 divisors (see below), whose sum is σ = 51626032299072. Its totient is φ = 7238736449280.

The previous prime is 21123222411299. The next prime is 21123222411349. The reversal of 21123222411340 is 4311422232112.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 21123222411299 and 21123222411308.

It is not an unprimeable number, because it can be changed into a prime (21123222411349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3202281 + ... + 7245760.

It is an arithmetic number, because the mean of its divisors is an integer number (717028226376).

Almost surely, 221123222411340 is an apocalyptic number.

21123222411340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21123222411340 is an abundant number, since it is smaller than the sum of its proper divisors (30502809887732).

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

21123222411340 is a wasteful number, since it uses less digits than its factorization.

21123222411340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10450127 (or 10450118 counting only the distinct ones).

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

Adding to 21123222411340 its reverse (4311422232112), we get a palindrome (25434644643452).

The spelling of 21123222411340 in words is "twenty-one trillion, one hundred twenty-three billion, two hundred twenty-two million, four hundred eleven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 2063 4126 8252 10315 14441 20630 28882 41260 57764 72205 101087 144410 202174 288820 404348 505435 1010870 2021740 10448041 20896082 41792164 52240205 73136287 104480410 146272574 208960820 292545148 365681435 511954009 731362870 1023908018 1462725740 2047816036 2559770045 5119540090 10239080180 21554308583 43108617166 86217234332 107771542915 150880160081 215543085830 301760320162 431086171660 603520640324 754400800405 1056161120567 1508801600810 2112322241134 3017603201620 4224644482268 5280805602835 10561611205670 21123222411340