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1020211000212 = 2233759101385597
BaseRepresentation
bin11101101100010010101…
…00000111001110010100
310121112100020222121121110
432312021110013032110
5113203343004001322
62100402314215020
7133464531263625
oct16661124071624
93545306877543
101020211000212
1136373a570558
12145882724470
13752895ac671
1437542775a4c
151b810cb0c0c
hexed89507394

1020211000212 has 96 divisors (see below), whose sum is σ = 2510890784640. Its totient is φ = 322049779200.

The previous prime is 1020211000199. The next prime is 1020211000301. The reversal of 1020211000212 is 2120001120201.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2452998 + ... + 2838594.

It is an arithmetic number, because the mean of its divisors is an integer number (26155112340).

Almost surely, 21020211000212 is an apocalyptic number.

1020211000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020211000212 is an abundant number, since it is smaller than the sum of its proper divisors (1490679784428).

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

1020211000212 is a wasteful number, since it uses less digits than its factorization.

1020211000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385801 (or 385799 counting only the distinct ones).

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

Adding to 1020211000212 its reverse (2120001120201), we get a palindrome (3140212120413).

The spelling of 1020211000212 in words is "one trillion, twenty billion, two hundred eleven million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 37 59 74 101 111 118 148 177 202 222 236 303 354 404 444 606 708 1212 2183 3737 4366 5959 6549 7474 8732 11211 11918 13098 14948 17877 22422 23836 26196 35754 44844 71508 220483 385597 440966 661449 771194 881932 1156791 1322898 1542388 2313582 2645796 4627164 14267089 22750223 28534178 38945297 42801267 45500446 57068356 68250669 77890594 85602534 91000892 116835891 136501338 155781188 171205068 233671782 273002676 467343564 841758251 1440975989 1683516502 2297772523 2525274753 2881951978 3367033004 4322927967 4595545046 5050549506 5763903956 6893317569 8645855934 9191090092 10101099012 13786635138 17291711868 27573270276 85017583351 170035166702 255052750053 340070333404 510105500106 1020211000212