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100000121022 = 23341157287689
BaseRepresentation
bin101110100100001111…
…0001100000010111110
3100120010011212111021000
41131020132030002332
53114300012333042
6113534525351130
710140045001224
oct1351036140276
9316104774230
10100000121022
113945650901a
1217469a084a6
139578852859
144ba9092b14
15290426074c
hex174878c0be

100000121022 has 64 divisors (see below), whose sum is σ = 229093300800. Its totient is φ = 32313116160.

The previous prime is 100000121017. The next prime is 100000121041. The reversal of 100000121022 is 220121000001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100000120995 and 100000121013.

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, 203754 + ... + 491442.

It is an arithmetic number, because the mean of its divisors is an integer number (3579582825).

Almost surely, 2100000121022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100000121022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114546650400).

100000121022 is an abundant number, since it is smaller than the sum of its proper divisors (129093179778).

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

100000121022 is a wasteful number, since it uses less digits than its factorization.

100000121022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287898 (or 287892 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100000121022 its reverse (220121000001), we get a palindrome (320121121023).

The spelling of 100000121022 in words is "one hundred billion, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 157 246 314 369 471 738 942 1107 1413 2214 2826 4239 6437 8478 12874 19311 38622 57933 115866 173799 287689 347598 575378 863067 1726134 2589201 5178402 7767603 11795249 15535206 23590498 35385747 45167173 70771494 90334346 106157241 135501519 212314482 271003038 318471723 406504557 636943446 813009114 1219513671 1851854093 2439027342 3703708186 5555562279 11111124558 16666686837 33333373674 50000060511 100000121022