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211212004020 = 223583137309577
BaseRepresentation
bin1100010010110100110…
…1110110101010110100
3202012011201122111120120
43010231031312222310
511430030233112040
6241010210131540
721155013261243
oct3045515665264
9665151574516
10211212004020
1181635740826
1234b26580bb0
1316bc0144894
14a3191ba95a
15576293e7d0
hex312d376ab4

211212004020 has 96 divisors (see below), whose sum is σ = 602889533568. Its totient is φ = 55238264832.

The previous prime is 211212004019. The next prime is 211212004049. The reversal of 211212004020 is 20400212112.

It is a super-2 number, since 2×2112120040202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 527472 + ... + 837048.

It is an arithmetic number, because the mean of its divisors is an integer number (6280099308).

Almost surely, 2211212004020 is an apocalyptic number.

211212004020 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 211212004020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301444766784).

211212004020 is an abundant number, since it is smaller than the sum of its proper divisors (391677529548).

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

211212004020 is a wasteful number, since it uses less digits than its factorization.

211212004020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309809 (or 309807 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 211212004020 its reverse (20400212112), we get a palindrome (231612216132).

The spelling of 211212004020 in words is "two hundred eleven billion, two hundred twelve million, four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 137 166 249 274 332 411 415 498 548 685 822 830 996 1245 1370 1644 1660 2055 2490 2740 4110 4980 8220 11371 22742 34113 45484 56855 68226 113710 136452 170565 227420 309577 341130 619154 682260 928731 1238308 1547885 1857462 3095770 3714924 4643655 6191540 9287310 18574620 25694891 42412049 51389782 77084673 84824098 102779564 127236147 128474455 154169346 169648196 212060245 254472294 256948910 308338692 385423365 424120490 508944588 513897820 636180735 770846730 848240980 1272361470 1541693460 2544722940 3520200067 7040400134 10560600201 14080800268 17601000335 21121200402 35202000670 42242400804 52803001005 70404001340 105606002010 211212004020