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212002111020 = 223571553325027
BaseRepresentation
bin1100010101110001001…
…1110111111000101100
3202021012210101002121210
43011130103313320230
511433140020023040
6241220432554420
721213416132220
oct3053423677054
9667183332553
10212002111020
1181a00734917
12351070b2a10
1316cb7a4280b
14a3920cc780
1557abeb0480
hex315c4f7e2c

212002111020 has 96 divisors (see below), whose sum is σ = 678845680128. Its totient is φ = 48426273792.

The previous prime is 212002110997. The next prime is 212002111033. The reversal of 212002111020 is 20111200212.

212002111020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 212002110987 and 212002111005.

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, 489747 + ... + 814773.

It is an arithmetic number, because the mean of its divisors is an integer number (7071309168).

Almost surely, 2212002111020 is an apocalyptic number.

212002111020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212002111020 is an abundant number, since it is smaller than the sum of its proper divisors (466843569108).

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

212002111020 is a wasteful number, since it uses less digits than its factorization.

212002111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326599 (or 326597 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212002111020 its reverse (20111200212), we get a palindrome (232113311232).

The spelling of 212002111020 in words is "two hundred twelve billion, two million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1553 3106 4659 6212 7765 9318 10871 15530 18636 21742 23295 31060 32613 43484 46590 54355 65226 93180 108710 130452 163065 217420 325027 326130 650054 652260 975081 1300108 1625135 1950162 2275189 3250270 3900324 4550378 4875405 6500540 6825567 9100756 9750810 11375945 13651134 19501620 22751890 27302268 34127835 45503780 68255670 136511340 504766931 1009533862 1514300793 2019067724 2523834655 3028601586 3533368517 5047669310 6057203172 7066737034 7571503965 10095338620 10600105551 14133474068 15143007930 17666842585 21200211102 30286015860 35333685170 42400422204 53000527755 70667370340 106001055510 212002111020