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103031021320122 = 237192350311160131
BaseRepresentation
bin10111011011010011000111…
…011011010011011110111010
3111111210200002000200010221010
4113123103013123103132322
5102001030012424220442
61003043444152454350
730462513520234020
oct2733230733233672
9444720060603833
10103031021320122
112a9132355818a5
12b6801286aa3b6
134564a2580136c
141b62a29a50710
15bda117630b9c
hex5db4c76d37ba

103031021320122 has 128 divisors (see below), whose sum is σ = 259186476810240. Its totient is φ = 26622534755520.

The previous prime is 103031021320057. The next prime is 103031021320127. The reversal of 103031021320122 is 221023120130301.

It is a super-2 number, since 2×1030310213201222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (103031021320127) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3651997 + ... + 14812127.

It is an arithmetic number, because the mean of its divisors is an integer number (2024894350080).

Almost surely, 2103031021320122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103031021320122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129593238405120).

103031021320122 is an abundant number, since it is smaller than the sum of its proper divisors (156155455490118).

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

103031021320122 is a wasteful number, since it uses less digits than its factorization.

103031021320122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11160688.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 103031021320122 its reverse (221023120130301), we get a palindrome (324054141450423).

The spelling of 103031021320122 in words is "one hundred three trillion, thirty-one billion, twenty-one million, three hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 23 38 42 46 57 69 114 133 138 161 266 322 399 437 483 503 798 874 966 1006 1311 1509 2622 3018 3059 3521 6118 7042 9177 9557 10563 11569 18354 19114 21126 23138 28671 34707 57342 66899 69414 80983 133798 161966 200697 219811 242949 401394 439622 485898 659433 1318866 1538677 3077354 4616031 9232062 11160131 22320262 33480393 66960786 78120917 156241834 212042489 234362751 256683013 424084978 468725502 513366026 636127467 770049039 1272254934 1484297423 1540098078 1796781091 2968594846 3593562182 4452892269 4876977247 5390343273 5613545893 8905784538 9753954494 10780686546 11227091786 14630931741 16840637679 29261863482 33681275358 34138840729 39294821251 68277681458 78589642502 102416522187 106657371967 117884463753 129111555539 204833044374 213314743934 235768927506 258223111078 319972115901 387334666617 639944231802 746601603769 774669333234 903780888773 1493203207538 1807561777546 2239804811307 2453119555241 2711342666319 4479609622614 4906239110482 5422685332638 7359358665723 14718717331446 17171836886687 34343673773374 51515510660061 103031021320122