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1112122122100 = 2252118231228457
BaseRepresentation
bin10000001011101111101…
…001001101111101110100
310221022120200222101002221
4100023233221031331310
5121210111230401400
62210522444412124
7143230265031253
oct20135751157564
93838520871087
101112122122100
11399714a43820
1215b653547044
1380b4632a8a2
143bb813d479a
151dddece5c1a
hex102efa4df74

1112122122100 has 72 divisors (see below), whose sum is σ = 2635897416768. Its totient is φ = 403916332800.

The previous prime is 1112122122091. The next prime is 1112122122173. The reversal of 1112122122100 is 12212212111.

It is a super-2 number, since 2×11121221221002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291072 + ... + 1519528.

It is an arithmetic number, because the mean of its divisors is an integer number (36609686344).

Almost surely, 21112122122100 is an apocalyptic number.

1112122122100 is a gapful number since it is divisible by the number (10) 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 1112122122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317948708384).

1112122122100 is an abundant number, since it is smaller than the sum of its proper divisors (1523775294668).

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

1112122122100 is a wasteful number, since it uses less digits than its factorization.

1112122122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229305 (or 1229298 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1112122122100 its reverse (12212212111), we get a palindrome (1124334334211).

The spelling of 1112122122100 in words is "one trillion, one hundred twelve billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 823 1100 1646 3292 4115 8230 9053 16460 18106 20575 36212 41150 45265 82300 90530 181060 226325 452650 905300 1228457 2456914 4913828 6142285 12284570 13513027 24569140 27026054 30711425 54052108 61422850 67565135 122845700 135130270 270260540 337825675 675651350 1011020111 1351302700 2022040222 4044080444 5055100555 10110201110 11121221221 20220402220 22242442442 25275502775 44484884884 50551005550 55606106105 101102011100 111212212210 222424424420 278030530525 556061061050 1112122122100