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2100304422112 = 251331347469351
BaseRepresentation
bin11110100100000011111…
…001100010010011100000
321102210020211022102211211
4132210003321202103200
5233402410413001422
64244511100515504
7304512334011421
oct36440371422340
97383224272754
102100304422112
1173a809100806
1229b07784bb94
1312309a15c630
1473926115648
1539978ceb577
hex1e903e624e0

2100304422112 has 96 divisors (see below), whose sum is σ = 4609952815104. Its totient is φ = 935395776000.

The previous prime is 2100304422101. The next prime is 2100304422149. The reversal of 2100304422112 is 2112244030012.

It is a super-2 number, since 2×21003044221122 (a number of 25 digits) contains 22 as substring.

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, 4240237 + ... + 4709587.

It is an arithmetic number, because the mean of its divisors is an integer number (48020341824).

Almost surely, 22100304422112 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 2100304422112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304976407552).

2100304422112 is an abundant number, since it is smaller than the sum of its proper divisors (2509648392992).

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

2100304422112 is a wasteful number, since it uses less digits than its factorization.

2100304422112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469752 (or 469744 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 2100304422112 its reverse (2112244030012), we get a palindrome (4212548452124).

The spelling of 2100304422112 in words is "two trillion, one hundred billion, three hundred four million, four hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 347 403 416 496 694 806 992 1388 1612 2776 3224 4511 5552 6448 9022 10757 11104 12896 18044 21514 36088 43028 72176 86056 139841 144352 172112 279682 344224 469351 559364 938702 1118728 1877404 2237456 3754808 4474912 6101563 7509616 12203126 14549881 15019232 24406252 29099762 48812504 58199524 97625008 116399048 162864797 189148453 195250016 232798096 325729594 378296906 465596192 651459188 756593812 1302918376 1513187624 2117242361 2605836752 3026375248 4234484722 5048808707 5211673504 6052750496 8468969444 10097617414 16937938888 20195234828 33875877776 40390469656 65634513191 67751755552 80780939312 131269026382 161561878624 262538052764 525076105528 1050152211056 2100304422112