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21121111220 = 22511294197901
BaseRepresentation
bin10011101010111010…
…101001010010110100
32000111222002121201112
4103222322221102310
5321224001024340
613411454414152
71345254324506
oct235272512264
960458077645
1021121111220
118a59353520
124115501358
131cb7a3a761
14104515bd76
158393c2065
hex4eaea94b4

21121111220 has 96 divisors (see below), whose sum is σ = 50180860800. Its totient is φ = 7396928000.

The previous prime is 21121111153. The next prime is 21121111279. The reversal of 21121111220 is 2211112112.

It is a super-2 number, since 2×211211112202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21121111195 and 21121111204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2669270 + ... + 2677170.

It is an arithmetic number, because the mean of its divisors is an integer number (522717300).

Almost surely, 221121111220 is an apocalyptic number.

21121111220 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 21121111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25090430400).

21121111220 is an abundant number, since it is smaller than the sum of its proper divisors (29059749580).

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

21121111220 is a wasteful number, since it uses less digits than its factorization.

21121111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8369 (or 8367 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21121111220 its reverse (2211112112), we get a palindrome (23332223332).

The spelling of 21121111220 in words is "twenty-one billion, one hundred twenty-one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 419 580 638 838 1276 1595 1676 2095 3190 4190 4609 6380 7901 8380 9218 12151 15802 18436 23045 24302 31604 39505 46090 48604 60755 79010 86911 92180 121510 133661 158020 173822 229129 243020 267322 347644 434555 458258 534644 668305 869110 916516 1145645 1336610 1738220 2291290 2520419 2673220 3310519 4582580 5040838 6621038 10081676 12602095 13242076 16552595 25204190 33105190 36415709 50408380 66210380 72831418 96005051 145662836 182078545 192010102 364157090 384020204 480025255 728314180 960050510 1056055561 1920101020 2112111122 4224222244 5280277805 10560555610 21121111220