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21022212111100 = 22522926017278627
BaseRepresentation
bin1001100011110100111010…
…11111000011101011111100
32202102201000002220002100021
410301322131133003223330
510223411442300023400
6112413245415141524
74266543004425214
oct461723537035374
982381002802307
1021022212111100
116775519763842
1224362b43748a4
13b96503339285
145296a269b244
15266c8167871a
hex131e9d7c3afc

21022212111100 has 72 divisors (see below), whose sum is σ = 47193224909040. Its totient is φ = 8118582097920.

The previous prime is 21022212111059. The next prime is 21022212111101. The reversal of 21022212111100 is 111121222012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022212111101) 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, 75309987 + ... + 75588613.

It is an arithmetic number, because the mean of its divisors is an integer number (655461457070).

Almost surely, 221022212111100 is an apocalyptic number.

21022212111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21022212111100 is an abundant number, since it is smaller than the sum of its proper divisors (26171012797940).

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

21022212111100 is a wasteful number, since it uses less digits than its factorization.

21022212111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304687 (or 304680 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21022212111100 its reverse (111121222012), we get a palindrome (21133333333112).

The spelling of 21022212111100 in words is "twenty-one trillion, twenty-two billion, two hundred twelve million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 26017 52034 104068 130085 260170 278627 520340 557254 650425 754493 1114508 1300850 1393135 1508986 2601700 2786270 3017972 3772465 5572540 6965675 7544930 8080183 13931350 15089860 16160366 18862325 27862700 32320732 37724650 40400915 75449300 80801830 161603660 202004575 404009150 808018300 7249038659 14498077318 28996154636 36245193295 72490386590 144980773180 181225966475 210222121111 362451932950 420444242222 724903865900 840888484444 1051110605555 2102221211110 4204442422220 5255553027775 10511106055550 21022212111100