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210100012210020 = 223513781793125029
BaseRepresentation
bin101111110001010110111000…
…100110000101011101100100
31000112220100212002110222122110
4233301112320212011131210
5210014234311111210040
62022502340235201020
762153140106513262
oct5761267046053544
91015810762428573
10210100012210020
1160a42a07661a99
121b692958ba6170
1390304666105aa
1439c4c75671432
1519452b432e980
hexbf15b8985764

210100012210020 has 96 divisors (see below), whose sum is σ = 592646689353600. Its totient is φ = 55610898269184.

The previous prime is 210100012210009. The next prime is 210100012210027. The reversal of 210100012210020 is 20012210001012.

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 = 210100012209978 and 210100012210005.

It is not an unprimeable number, because it can be changed into a prime (210100012210027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65668866 + ... + 68793894.

It is an arithmetic number, because the mean of its divisors is an integer number (6173403014100).

Almost surely, 2210100012210020 is an apocalyptic number.

210100012210020 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 210100012210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296323344676800).

210100012210020 is an abundant number, since it is smaller than the sum of its proper divisors (382546677143580).

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

210100012210020 is a wasteful number, since it uses less digits than its factorization.

210100012210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133357 (or 3133355 counting only the distinct ones).

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

Adding to 210100012210020 its reverse (20012210001012), we get a palindrome (230112222211032).

The spelling of 210100012210020 in words is "two hundred ten trillion, one hundred billion, twelve million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1370 1644 2055 2740 4110 8179 8220 16358 24537 32716 40895 49074 81790 98148 122685 163580 245370 490740 1120523 2241046 3125029 3361569 4482092 5602615 6250058 6723138 9375087 11205230 12500116 13446276 15625145 16807845 18750174 22410460 31250290 33615690 37500348 46875435 62500580 67231380 93750870 187501740 428128973 856257946 1284386919 1712515892 2140644865 2568773838 4281289730 5137547676 6421934595 8562579460 12843869190 25559612191 25687738380 51119224382 76678836573 102238448764 127798060955 153357673146 255596121910 306715346292 383394182865 511192243820 766788365730 1533576731460 3501666870167 7003333740334 10505000610501 14006667480668 17508334350835 21010001221002 35016668701670 42020002442004 52525003052505 70033337403340 105050006105010 210100012210020