Search a number
-
+
22033140011124 = 22311598233343631
BaseRepresentation
bin1010000001001111111010…
…11110111101000001110100
32220000100101102002100111020
411000213331132331001310
510341442332320323444
6114505515040341140
74432561514666124
oct500477536750164
986010342070436
1022033140011124
117025225151770
12257a2060147b0
13c3a940606b38
145625a41a6c84
152831ec48b119
hex1409fd7bd074

22033140011124 has 96 divisors (see below), whose sum is σ = 57042032302080. Its totient is φ = 6562728211200.

The previous prime is 22033140011093. The next prime is 22033140011147. The reversal of 22033140011124 is 42111004133022.

It is a junction number, because it is equal to n+sod(n) for n = 22033140011094 and 22033140011103.

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, 63946789 + ... + 64290419.

It is an arithmetic number, because the mean of its divisors is an integer number (594187836480).

Almost surely, 222033140011124 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 22033140011124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28521016151040).

22033140011124 is an abundant number, since it is smaller than the sum of its proper divisors (35008892290956).

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

22033140011124 is a wasteful number, since it uses less digits than its factorization.

22033140011124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351941 (or 351939 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 22033140011124 its reverse (42111004133022), we get a palindrome (64144144144146).

The spelling of 22033140011124 in words is "twenty-two trillion, thirty-three billion, one hundred forty million, eleven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 236 354 649 708 1298 1947 2596 3894 7788 8233 16466 24699 32932 49398 90563 98796 181126 271689 343631 362252 485747 543378 687262 971494 1030893 1086756 1374524 1457241 1942988 2061786 2914482 3779941 4123572 5343217 5828964 7559882 10686434 11339823 15119764 16029651 20274229 21372868 22679646 32059302 40548458 45359292 60822687 64118604 81096916 121645374 223016519 243290748 446033038 669049557 892066076 1338099114 2676198228 2829114023 5658228046 8487342069 11316456092 16974684138 31120254253 33949368276 62240508506 93360762759 124481017012 166917727357 186721525518 333835454714 373443051036 500753182071 667670909428 1001506364142 1836095000927 2003012728284 3672190001854 5508285002781 7344380003708 11016570005562 22033140011124