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2110122011220 = 2235107347947203
BaseRepresentation
bin11110101101001101000…
…100101010101001010100
321110201121000211122021020
4132231031010222221110
5234033012213324340
64253213205521140
7305310535104246
oct36551504525124
97421530748236
102110122011220
11743996956813
122a0b577131b0
13123ca3110762
14741b7d54096
1539d50b769d0
hex1eb4d12aa54

2110122011220 has 96 divisors (see below), whose sum is σ = 5980752142848. Its totient is φ = 555833288832.

The previous prime is 2110122011189. The next prime is 2110122011297. The reversal of 2110122011220 is 221102210112.

It is a super-2 number, since 2×21101220112202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2110122011220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1754139 + ... + 2701341.

It is an arithmetic number, because the mean of its divisors is an integer number (62299501488).

Almost surely, 22110122011220 is an apocalyptic number.

2110122011220 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 2110122011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2990376071424).

2110122011220 is an abundant number, since it is smaller than the sum of its proper divisors (3870630131628).

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

2110122011220 is a wasteful number, since it uses less digits than its factorization.

2110122011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947669 (or 947667 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2110122011220 its reverse (221102210112), we get a palindrome (2331224221332).

The spelling of 2110122011220 in words is "two trillion, one hundred ten billion, one hundred twenty-two million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 347 428 535 642 694 1041 1070 1284 1388 1605 1735 2082 2140 3210 3470 4164 5205 6420 6940 10410 20820 37129 74258 111387 148516 185645 222774 371290 445548 556935 742580 947203 1113870 1894406 2227740 2841609 3788812 4736015 5683218 9472030 11366436 14208045 18944060 28416090 56832180 101350721 202701442 304052163 328679441 405402884 506753605 608104326 657358882 986038323 1013507210 1216208652 1314717764 1520260815 1643397205 1972076646 2027014420 3040521630 3286794410 3944153292 4930191615 6081043260 6573588820 9860383230 19720766460 35168700187 70337400374 105506100561 140674800748 175843500935 211012201122 351687001870 422024402244 527530502805 703374003740 1055061005610 2110122011220