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211121210211220 = 22523964168904239
BaseRepresentation
bin110000000000001101111100…
…101111010011101110010100
31000200111222202010200110002001
4300000031330233103232110
5210133002214303224340
62025003424532325044
762320001254351141
oct6000157457235624
91020458663613061
10211121210211220
11612a7003277a41
121b818856173784
1390a584c5284ba
143a1c46d12d3c8
151961b31aa529a
hexc0037cbd3b94

211121210211220 has 48 divisors (see below), whose sum is σ = 445904142566400. Its totient is φ = 83963948257280.

The previous prime is 211121210211143. The next prime is 211121210211313. The reversal of 211121210211220 is 22112012121112.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 31388140 + ... + 37516099.

It is an arithmetic number, because the mean of its divisors is an integer number (9289669636800).

Almost surely, 2211121210211220 is an apocalyptic number.

211121210211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121210211220 is an abundant number, since it is smaller than the sum of its proper divisors (234782932355180).

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

211121210211220 is a wasteful number, since it uses less digits than its factorization.

211121210211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68905128 (or 68905126 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 211121210211220 its reverse (22112012121112), we get a palindrome (233233222332332).

The spelling of 211121210211220 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred ten million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 239 478 641 956 1195 1282 2390 2564 3205 4780 6410 12820 153199 306398 612796 765995 1531990 3063980 68904239 137808478 275616956 344521195 689042390 1378084780 16468113121 32936226242 44167617199 65872452484 82340565605 88335234398 164681131210 176670468796 220838085995 329362262420 441676171990 883352343980 10556060510561 21112121021122 42224242042244 52780302552805 105560605105610 211121210211220