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10122422332204 = 227213191271646371
BaseRepresentation
bin1001001101001100111101…
…1000110010101100101100
31022211200202000110002102101
42103103033120302230230
52311321210104112304
633310102052304444
72063215030114600
oct223231730625454
938750660402371
1010122422332204
113252993574186
121175962912124
1358570414a350
1426dcdc069500
151284928d18a4
hex934cf632b2c

10122422332204 has 144 divisors (see below), whose sum is σ = 23543383019520. Its totient is φ = 3763838897280.

The previous prime is 10122422332201. The next prime is 10122422332207. The reversal of 10122422332204 is 40223322422101.

10122422332204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10122422332201) and next prime (10122422332207).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (10122422332201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5325139 + ... + 6971509.

Almost surely, 210122422332204 is an apocalyptic number.

10122422332204 is a gapful number since it is divisible by the number (14) 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 10122422332204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11771691509760).

10122422332204 is an abundant number, since it is smaller than the sum of its proper divisors (13420960687316).

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

10122422332204 is a wasteful number, since it uses less digits than its factorization.

10122422332204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646548 (or 1646539 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 10122422332204 its reverse (40223322422101), we get a palindrome (50345744754305).

The spelling of 10122422332204 in words is "ten trillion, one hundred twenty-two billion, four hundred twenty-two million, three hundred thirty-two thousand, two hundred four".

Divisors: 1 2 4 7 13 14 19 26 28 38 49 52 76 91 98 127 133 182 196 247 254 266 364 494 508 532 637 889 931 988 1274 1651 1729 1778 1862 2413 2548 3302 3458 3556 3724 4826 6223 6604 6916 9652 11557 12103 12446 16891 23114 24206 24892 31369 33782 46228 48412 62738 67564 80899 118237 125476 161798 219583 236474 323596 439166 472948 878332 1537081 1646371 3074162 3292742 6148324 6585484 11524597 21402823 23049194 31281049 42805646 46098388 62562098 80672179 85611292 125124196 149819761 161344358 209089117 218967343 299639522 322688716 406653637 418178234 437934686 599279044 813307274 836356468 875869372 1048738327 1463623819 1532771401 1626614548 2097476654 2718158521 2846575459 2927247638 3065542802 3972693223 4194953308 5436317042 5693150918 5854495276 6131085604 7945386446 10245366733 10872634084 11386301836 15890772892 19027109647 19926028213 20490733466 27808852561 38054219294 39852056426 40981466932 51645011899 55617705122 76108438588 79704112852 103290023798 111235410244 133189767529 194661967927 206580047596 266379535058 361515083293 389323935854 532759070116 723030166586 778647871708 1446060333172 2530605583051 5061211166102 10122422332204