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2210212001120 = 255113131992681
BaseRepresentation
bin100000001010011010111…
…001101011010101100000
321211021221110210221110012
4200022122321223111200
5242203003233013440
64411205105424052
7315453054014054
oct40123271532540
97737843727405
102210212001120
11782389066632
122b842b63b028
1313056446a656
1478d90d1bc64
153c75cc39e65
hex2029ae6b560

2210212001120 has 96 divisors (see below), whose sum is σ = 5271885622080. Its totient is φ = 875587256320.

The previous prime is 2210212001111. The next prime is 2210212001143. The reversal of 2210212001120 is 211002120122.

It is a junction number, because it is equal to n+sod(n) for n = 2210212001095 and 2210212001104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23801180 + ... + 23893860.

It is an arithmetic number, because the mean of its divisors is an integer number (54915475230).

Almost surely, 22210212001120 is an apocalyptic number.

2210212001120 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 2210212001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635942811040).

2210212001120 is an abundant number, since it is smaller than the sum of its proper divisors (3061673620960).

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

2210212001120 is a wasteful number, since it uses less digits than its factorization.

2210212001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94128 (or 94120 counting only the distinct ones).

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

Adding to 2210212001120 its reverse (211002120122), we get a palindrome (2421214121242).

The spelling of 2210212001120 in words is "two trillion, two hundred ten billion, two hundred twelve million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1319 1808 2260 2638 3616 4520 5276 6595 9040 10552 13190 18080 21104 26380 42208 52760 92681 105520 149047 185362 211040 298094 370724 463405 596188 741448 745235 926810 1192376 1482896 1490470 1853620 2384752 2965792 2980940 3707240 4769504 5961880 7414480 10472953 11923760 14828960 20945906 23847520 41891812 52364765 83783624 104729530 122246239 167567248 209459060 244492478 335134496 418918120 488984956 611231195 837836240 977969912 1222462390 1675672480 1955939824 2444924780 3911879648 4889849560 9779699120 13813825007 19559398240 27627650014 55255300028 69069125035 110510600056 138138250070 221021200112 276276500140 442042400224 552553000280 1105106000560 2210212001120