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2210020111012 = 22719379105110429
BaseRepresentation
bin100000001010001111011…
…101101011001010100100
321211021110002201220201011
4200022033131223022210
5242202110122023022
64411134052512004
7315445233664510
oct40121735531244
97737402656634
102210020111012
1178229a81276a
122b839731b604
131305337927cc
1478d7364b140
153c74ae83977
hex2028f76b2a4

2210020111012 has 96 divisors (see below), whose sum is σ = 4669836416000. Its totient is φ = 893996611200.

The previous prime is 2210020110973. The next prime is 2210020111021. The reversal of 2210020111012 is 2101110200122.

It is a junction number, because it is equal to n+sod(n) for n = 2210020110983 and 2210020111001.

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, 211905814 + ... + 211916242.

Almost surely, 22210020111012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210020111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334918208000).

2210020111012 is an abundant number, since it is smaller than the sum of its proper divisors (2459816304988).

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

2210020111012 is a wasteful number, since it uses less digits than its factorization.

2210020111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11889 (or 11887 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2210020111012 its reverse (2101110200122), we get a palindrome (4311130311134).

The spelling of 2210020111012 in words is "two trillion, two hundred ten billion, twenty million, one hundred eleven thousand, twelve".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 379 532 758 1051 1516 2102 2653 4204 5306 7201 7357 10429 10612 14402 14714 19969 20858 28804 29428 39938 41716 50407 73003 79876 100814 139783 146006 198151 201628 279566 292012 396302 398329 559132 792604 796658 1387057 1593316 2774114 2788303 3952591 5548228 5576606 7568251 7905182 10960879 11153212 15136502 15810364 21921758 27668137 30273004 43843516 52977757 55336274 75099229 76726153 105955514 110672548 150198458 153452306 208256701 211911028 300396916 306904612 416513402 525694603 833026804 1051389206 1457796907 2102778412 2915593814 4154173141 5831187628 8308346282 16616692564 29079211987 58158423974 78929289679 116316847948 157858579358 315717158716 552505027753 1105010055506 2210020111012