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211210121010012 = 223143329833411709
BaseRepresentation
bin110000000001100000110000…
…001111000101101101011100
31000200211111020111001000000220
4300001200300033011231130
5210140431311434310022
62025112331243321340
762326266456566025
oct6001406017055534
91020744214030026
10211210121010012
116133078908a043
121b831b2a220250
1390b104b7ab107
143a228a54ddc4c
1519640d74d085c
hexc018303c5b5c

211210121010012 has 48 divisors (see below), whose sum is σ = 493185254933280. Its totient is φ = 70351714464768.

The previous prime is 211210121009983. The next prime is 211210121010013. The reversal of 211210121010012 is 210010121012112.

It is a happy number.

It is a super-3 number, since 3×2112101210100123 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211210121009973 and 211210121010000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211210121010013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512802414 + ... + 513214122.

It is an arithmetic number, because the mean of its divisors is an integer number (10274692811110).

Almost surely, 2211210121010012 is an apocalyptic number.

It is an amenable number.

211210121010012 is an abundant number, since it is smaller than the sum of its proper divisors (281975133923268).

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

211210121010012 is a wasteful number, since it uses less digits than its factorization.

211210121010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442982 (or 442980 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211210121010012 its reverse (210010121012112), we get a palindrome (421220242022124).

The spelling of 211210121010012 in words is "two hundred eleven trillion, two hundred ten billion, one hundred twenty-one million, ten thousand, twelve".

Divisors: 1 2 3 4 6 12 1433 2866 4299 5732 8598 17196 29833 59666 89499 119332 178998 357996 411709 823418 1235127 1646836 2470254 4940508 42750689 85501378 128252067 171002756 256504134 513008268 589978997 1179957994 1769936991 2359915988 3539873982 7079747964 12282514597 24565029194 36847543791 49130058388 73695087582 147390175164 17600843417501 35201686835002 52802530252503 70403373670004 105605060505006 211210121010012