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214421322120 = 23353087157881
BaseRepresentation
bin1100011110110010000…
…0011011100110001000
3202111110101112202100220
43013230200123212020
512003113324301440
6242300453030040
721330363110625
oct3075440334610
9674411482326
10214421322120
1182a32278a35
1235681325320
13172b1cc6785
14a54150d34c
15589e57d8d0
hex31ec81b988

214421322120 has 64 divisors (see below), whose sum is σ = 643295917440. Its totient is φ = 57176179200.

The previous prime is 214421322113. The next prime is 214421322131. The reversal of 214421322120 is 21223124412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3675580 + ... + 3733460.

It is an arithmetic number, because the mean of its divisors is an integer number (10051498710).

Almost surely, 2214421322120 is an apocalyptic number.

214421322120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214421322120 is an abundant number, since it is smaller than the sum of its proper divisors (428874595320).

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

214421322120 is a wasteful number, since it uses less digits than its factorization.

214421322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88766 (or 88762 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 214421322120 its reverse (21223124412), we get a palindrome (235644446532).

The spelling of 214421322120 in words is "two hundred fourteen billion, four hundred twenty-one million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 30871 57881 61742 92613 115762 123484 154355 173643 185226 231524 246968 289405 308710 347286 370452 463048 463065 578810 617420 694572 740904 868215 926130 1157620 1234840 1389144 1736430 1852260 2315240 3472860 3704520 6945720 1786844351 3573688702 5360533053 7147377404 8934221755 10721066106 14294754808 17868443510 21442132212 26802665265 35736887020 42884264424 53605330530 71473774040 107210661060 214421322120