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31003310034 = 23815115647
BaseRepresentation
bin11100110111111100…
…001111011111010010
32222000200012100000000
4130313330033133102
51001443321410114
622124232310430
72145201533664
oct346774173722
988020170000
1031003310034
111216a618784
126012b42416
132c011c0a88
1417017b8534
15c16c60e09
hex737f0f7d2

31003310034 has 72 divisors (see below), whose sum is σ = 70220337408. Its totient is φ = 10265340600.

The previous prime is 31003310017. The next prime is 31003310047. The reversal of 31003310034 is 43001330013.

It is a super-2 number, since 2×310033100342 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31003309989 and 31003310016.

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 35 ways as a sum of consecutive naturals, for example, 1973599 + ... + 1989245.

It is an arithmetic number, because the mean of its divisors is an integer number (975282464).

Almost surely, 231003310034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31003310034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35110168704).

31003310034 is an abundant number, since it is smaller than the sum of its proper divisors (39217027374).

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

31003310034 is an equidigital number, since it uses as much as digits as its factorization.

31003310034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15824 (or 15803 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31003310034 its reverse (43001330013), we get a palindrome (74004640047).

The spelling of 31003310034 in words is "thirty-one billion, three million, three hundred ten thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 151 162 243 302 453 486 729 906 1359 1458 2187 2718 4077 4374 6561 8154 12231 13122 15647 24462 31294 36693 46941 73386 93882 110079 140823 220158 281646 330237 422469 660474 844938 990711 1267407 1981422 2362697 2534814 3802221 4725394 7088091 7604442 11406663 14176182 21264273 22813326 34219989 42528546 63792819 68439978 102659967 127585638 191378457 205319934 382756914 574135371 1148270742 1722406113 3444812226 5167218339 10334436678 15501655017 31003310034