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113101220322222 = 231147304111989721
BaseRepresentation
bin11001101101110101101110…
…000011111001101110101110
3112211110101000111201012012020
4121231311232003321232232
5104311022244400302342
61040313552222051010
732552202450361116
oct3155655603715656
9484411014635166
10113101220322222
1133045a5a369130
1210827935a19a66
134b1552639c242
141dd01b1d98046
15d120503930ec
hex66dd6e0f9bae

113101220322222 has 64 divisors (see below), whose sum is σ = 252099539647488. Its totient is φ = 33532848896000.

The previous prime is 113101220322199. The next prime is 113101220322239. The reversal of 113101220322222 is 222223022101311.

It is a super-3 number, since 3×1131012203222223 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113101220322192 and 113101220322201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3438322 + ... + 15428042.

It is an arithmetic number, because the mean of its divisors is an integer number (3939055306992).

Almost surely, 2113101220322222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113101220322222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126049769823744).

113101220322222 is an abundant number, since it is smaller than the sum of its proper divisors (138998319325266).

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

113101220322222 is a wasteful number, since it uses less digits than its factorization.

113101220322222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11992825.

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

Adding to 113101220322222 its reverse (222223022101311), we get a palindrome (335324242423533).

The spelling of 113101220322222 in words is "one hundred thirteen trillion, one hundred one billion, two hundred twenty million, three hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 282 517 1034 1551 3041 3102 6082 9123 18246 33451 66902 100353 142927 200706 285854 428781 857562 1572197 3144394 4716591 9433182 11989721 23979442 35969163 71938326 131886931 263773862 395660793 563516887 791321586 1127033774 1690550661 3381101322 6198685757 12397371514 18596057271 36460741561 37192114542 72921483122 109382224683 218764449366 401068157171 802136314342 1203204471513 1713654853367 2406408943026 3427309706734 5140964560101 10281929120202 18850203387037 37700406774074 56550610161111 113101220322222