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103031202033032 = 237132294431395077
BaseRepresentation
bin10111011011010011010010…
…001100101010110110001000
3111111210200112121201022102212
4113123103102030222312020
5102001030400210024112
61003043514130044252
730462521143251560
oct2733232214526610
9444720477638385
10103031202033032
112a913318591109
12b680179119688
134564a54094890
141b62a45a51da0
15bda12842a522
hex5db4d232ad88

103031202033032 has 128 divisors (see below), whose sum is σ = 239341813804800. Its totient is φ = 40489971545088.

The previous prime is 103031202032999. The next prime is 103031202033049. The reversal of 103031202033032 is 230330202130301.

It is a super-2 number, since 2×1030312020330322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103031202032989 and 103031202033007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73155878 + ... + 74550954.

It is an arithmetic number, because the mean of its divisors is an integer number (1869857920350).

Almost surely, 2103031202033032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103031202033032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119670906902400).

103031202033032 is an abundant number, since it is smaller than the sum of its proper divisors (136310611771768).

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

103031202033032 is a wasteful number, since it uses less digits than its factorization.

103031202033032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395775 (or 1395771 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 103031202033032 its reverse (230330202130301), we get a palindrome (333361404163333).

The spelling of 103031202033032 in words is "one hundred three trillion, thirty-one billion, two hundred two million, thirty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 229 364 443 458 728 886 916 1603 1772 1832 2977 3101 3206 3544 5759 5954 6202 6412 11518 11908 12404 12824 20839 23036 23816 24808 40313 41678 46072 80626 83356 101447 161252 166712 202894 322504 405788 710129 811576 1318811 1395077 1420258 2637622 2790154 2840516 5275244 5580308 5681032 9231677 9765539 10550488 11160616 18136001 18463354 19531078 36272002 36926708 39062156 72544004 73853416 78124312 126952007 145088008 253904014 319472633 507808028 618019111 638945266 1015616056 1236038222 1277890532 2236308431 2472076444 2555781064 4153144229 4326133777 4472616862 4944152888 8034248443 8306288458 8652267554 8945233724 16068496886 16612576916 17304535108 17890467448 29072009603 32136993772 33225153832 34609070216 56239739101 58144019206 64273987544 112479478202 116288038412 141526376419 224958956404 232576076824 283052752838 449917912808 566105505676 990684634933 1132211011352 1839842893447 1981369269866 3679685786894 3962738539732 7359371573788 7925477079464 12878900254129 14718743147576 25757800508258 51515601016516 103031202033032