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210012200020 = 225753279110141
BaseRepresentation
bin1100001110010110110…
…0111101110001010100
3202002002010000010220101
43003211230331301110
511420101110400040
6240251150143444
721113204150350
oct3034554756124
9662063003811
10210012200020
118107a459277
12348507b1b84
1316a5b6bb69c
14a243adc460
1556e244209a
hex30e5b3dc54

210012200020 has 96 divisors (see below), whose sum is σ = 513773922816. Its totient is φ = 70613337600.

The previous prime is 210012200003. The next prime is 210012200033. The reversal of 210012200020 is 20002210012.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 20704150 + ... + 20714290.

It is an arithmetic number, because the mean of its divisors is an integer number (5351811696).

Almost surely, 2210012200020 is an apocalyptic number.

210012200020 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 210012200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256886961408).

210012200020 is an abundant number, since it is smaller than the sum of its proper divisors (303761722796).

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

210012200020 is a wasteful number, since it uses less digits than its factorization.

210012200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13001 (or 12999 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 210012200020 its reverse (20002210012), we get a palindrome (230014410032).

The spelling of 210012200020 in words is "two hundred ten billion, twelve million, two hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1484 1855 2791 3710 5582 7420 10141 11164 13955 19537 20282 27910 39074 40564 50705 55820 70987 78148 97685 101410 141974 147923 195370 202820 283948 295846 354935 390740 537473 591692 709870 739615 1035461 1074946 1419740 1479230 2070922 2149892 2687365 2958460 3762311 4141844 5177305 5374730 7524622 10354610 10749460 15049244 18811555 20709220 28303531 37623110 56607062 75246220 113214124 141517655 198124717 283035310 396249434 566070620 792498868 990623585 1500087143 1981247170 3000174286 3962494340 6000348572 7500435715 10500610001 15000871430 21001220002 30001742860 42002440004 52503050005 105006100010 210012200020