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22003133031 = 3311179744927
BaseRepresentation
bin10100011111011111…
…010010101001100111
32002210102202222012000
4110133133102221213
5330030300224111
614035203300343
71406154354615
oct243737225147
962712688160
1022003133031
119371216570
12432097a6b3
1320c86ab059
1410ca3586b5
1588ba4bc56
hex51f7d2a67

22003133031 has 64 divisors (see below), whose sum is σ = 38041436160. Its totient is φ = 12421140480.

The previous prime is 22003133029. The next prime is 22003133041. The reversal of 22003133031 is 13033130022.

It is not a de Polignac number, because 22003133031 - 21 = 22003133029 is a prime.

It is a super-2 number, since 2×220031330312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22003132995 and 22003133013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22003133041) 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, 467290 + ... + 512216.

It is an arithmetic number, because the mean of its divisors is an integer number (594397440).

Almost surely, 222003133031 is an apocalyptic number.

22003133031 is a deficient number, since it is larger than the sum of its proper divisors (16038303129).

22003133031 is a wasteful number, since it uses less digits than its factorization.

22003133031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45061 (or 45055 counting only the distinct ones).

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

Adding to 22003133031 its reverse (13033130022), we get a palindrome (35036263053).

The spelling of 22003133031 in words is "twenty-two billion, three million, one hundred thirty-three thousand, thirty-one".

Divisors: 1 3 9 11 17 27 33 51 97 99 153 187 291 297 459 561 873 1067 1649 1683 2619 3201 4947 5049 9603 14841 18139 28809 44523 44927 54417 134781 163251 404343 489753 494197 763759 1213029 1482591 2291277 4357919 4447773 6873831 8401349 13073757 13343319 20621493 25204047 39221271 47937109 74084623 75612141 117663813 143811327 222253869 226836423 431433981 666761607 814930853 1294301943 2000284821 2444792559 7334377677 22003133031