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102031003233222 = 23729246734139949
BaseRepresentation
bin10111001100101111110001…
…101101000010101111000110
3111101021001212001012210212220
4113030233301231002233012
5101333133443311430342
61001000221254353210
730330332242604340
oct2714576155025706
9441231761183786
10102031003233222
112a568118422a58
12b53a36065b806
1344c163687211b
141b2a48105a290
15bbe0d94e55ec
hex5ccbf1b42bc6

102031003233222 has 128 divisors (see below), whose sum is σ = 241448349312000. Its totient is φ = 28124003851776.

The previous prime is 102031003233191. The next prime is 102031003233301. The reversal of 102031003233222 is 222332300130201.

It is a junction number, because it is equal to n+sod(n) for n = 102031003233192 and 102031003233201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10255397904 + ... + 10255407852.

It is an arithmetic number, because the mean of its divisors is an integer number (1886315229000).

Almost surely, 2102031003233222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102031003233222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120724174656000).

102031003233222 is an abundant number, since it is smaller than the sum of its proper divisors (139417346078778).

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

102031003233222 is a wasteful number, since it uses less digits than its factorization.

102031003233222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15870.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 102031003233222 its reverse (222332300130201), we get a palindrome (324363303363423).

The spelling of 102031003233222 in words is "one hundred two trillion, thirty-one billion, three million, two hundred thirty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 1218 2467 3413 4934 6826 7401 9949 10239 14802 17269 19898 20478 23891 29847 34538 47782 51807 59694 69643 71543 71673 98977 103614 139286 143086 143346 197954 208929 214629 288521 296931 417858 429258 500801 577042 593862 692839 865563 1001602 1385678 1502403 1731126 2019647 2078517 3004806 4039294 4157034 6058941 8419871 12117882 16839742 24544183 25259613 33955937 49088366 50519226 58939097 67911874 73632549 101867811 117878194 147265098 171809281 176817291 203735622 237691559 244176259 343618562 353634582 475383118 488352518 515427843 711781307 713074677 732528777 984722173 1030855686 1423562614 1426149354 1465057554 1709233813 1969444346 2135343921 2954166519 3418467626 4270687842 4982469149 5127701439 5908333038 6893055211 9964938298 10255402878 13786110422 14947407447 20679165633 29894814894 41358331266 83769296579 167538593158 251307889737 502615779474 586385076053 1172770152106 1759155228159 2429309600791 3518310456318 4858619201582 7287928802373 14575857604746 17005167205537 34010334411074 51015501616611 102031003233222