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210100222110020 = 2251141152171530703
BaseRepresentation
bin101111110001010111000101…
…000110110010100101000100
31000112220101101201110000022112
4233301113011012302211010
5210014240223330010040
62022502413134120152
762153145235602524
oct5761270506624504
91015811351400275
10210100222110020
1160a43005096a70
121b6929b7350058
13903049ac52a88
1439c4c954ad684
1519452c7992365
hexbf15c51b2944

210100222110020 has 96 divisors (see below), whose sum is σ = 493092757495296. Its totient is φ = 74531717222400.

The previous prime is 210100222110013. The next prime is 210100222110043. The reversal of 210100222110020 is 20011222001012.

It is a junction number, because it is equal to n+sod(n) for n = 210100222109977 and 210100222110004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136491989 + ... + 138022691.

It is an arithmetic number, because the mean of its divisors is an integer number (5136382890576).

Almost surely, 2210100222110020 is an apocalyptic number.

210100222110020 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 210100222110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246546378747648).

210100222110020 is an abundant number, since it is smaller than the sum of its proper divisors (282992535385276).

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

210100222110020 is a wasteful number, since it uses less digits than its factorization.

210100222110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545981 (or 1545979 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210100222110020 its reverse (20011222001012), we get a palindrome (230111444111032).

The spelling of 210100222110020 in words is "two hundred ten trillion, one hundred billion, two hundred twenty-two million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 4510 9020 15217 30434 60868 76085 152170 167387 304340 334774 623897 669548 836935 1247794 1530703 1673870 2495588 3061406 3119485 3347740 6122812 6238970 6862867 7653515 12477940 13725734 15307030 16837733 27451468 30614060 33675466 34314335 62758823 67350932 68628670 84188665 125517646 137257340 168377330 251035292 313794115 336754660 627588230 690347053 1255176460 1380694106 2761388212 3451735265 6903470530 13806941060 23292707551 46585415102 93170830204 116463537755 232927075510 256219783061 465854151020 512439566122 955001009591 1024879132244 1281098915305 1910002019182 2562197830610 3820004038364 4775005047955 5124395661220 9550010095910 10505011105501 19100020191820 21010022211002 42020044422004 52525055527505 105050111055010 210100222110020