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10122200201022 = 23713233721784757
BaseRepresentation
bin1001001101001100001000…
…1001011011011100111110
31022211200011112110122201120
42103103002021123130332
52311320231222413042
633310024035251410
72063206362044040
oct223230211333476
938750145418646
1010122200201022
11325288a145798
121175900449b66
1358569a114890
1426dcba765a90
1512847d154dec
hex934c225b73e

10122200201022 has 128 divisors (see below), whose sum is σ = 26702187853824. Its totient is φ = 2484507852288.

The previous prime is 10122200201021. The next prime is 10122200201023. The reversal of 10122200201022 is 22010200222101.

10122200201022 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 (10122200201021) and next prime (10122200201023).

It is a junction number, because it is equal to n+sod(n) for n = 10122200200992 and 10122200201010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122200201021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10427733 + ... + 11357024.

It is an arithmetic number, because the mean of its divisors is an integer number (208610842608).

Almost surely, 210122200201022 is an apocalyptic number.

10122200201022 is an abundant number, since it is smaller than the sum of its proper divisors (16579987652802).

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

10122200201022 is a wasteful number, since it uses less digits than its factorization.

10122200201022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21784842.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10122200201022 its reverse (22010200222101), we get a palindrome (32132400423123).

The spelling of 10122200201022 in words is "ten trillion, one hundred twenty-two billion, two hundred million, two hundred one thousand, twenty-two".

Divisors: 1 2 3 6 7 13 14 21 23 26 37 39 42 46 69 74 78 91 111 138 161 182 222 259 273 299 322 481 483 518 546 598 777 851 897 962 966 1443 1554 1702 1794 2093 2553 2886 3367 4186 5106 5957 6279 6734 10101 11063 11914 12558 17871 20202 22126 33189 35742 66378 77441 154882 232323 464646 21784757 43569514 65354271 130708542 152493299 283201841 304986598 457479897 501049411 566403682 806036009 849605523 914959794 1002098822 1503148233 1612072018 1699211046 1982412887 2418108027 3006296466 3507345877 3964825774 4836216054 5642252063 5947238661 6513642343 7014691754 10478468117 10522037631 11284504126 11894477322 13027284686 16926756189 18538828207 19540927029 20956936234 21044075262 31435404351 33853512378 37077656414 39081854058 45595496401 55616484621 62870808702 73349276819 91190992802 111232969242 129771797449 136786489203 146698553638 220047830457 241004766691 259543594898 273572978406 389315392347 440095660914 482009533382 723014300073 778630784694 1446028600146 1687033366837 3374066733674 5061100100511 10122200201022