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1100200034031 = 3721911312492791
BaseRepresentation
bin10000000000101001000…
…010000011111011101111
310220011210211110112211120
4100000221002003323233
5121011202202042111
62201231440552023
7142325660663100
oct20005102037357
93804724415746
101100200034031
1139465726757a
12159286922613
137c996374bc7
143b36dc983a7
151d943315406
hex10029083eef

1100200034031 has 96 divisors (see below), whose sum is σ = 1814241600000. Its totient is φ = 589642260480.

The previous prime is 1100200034009. The next prime is 1100200034033. The reversal of 1100200034031 is 1304300020011.

It is not a de Polignac number, because 1100200034031 - 210 = 1100200033007 is a prime.

It is a super-2 number, since 2×11002000340312 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1100200034031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100200034033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 394194246 + ... + 394197036.

It is an arithmetic number, because the mean of its divisors is an integer number (18898350000).

Almost surely, 21100200034031 is an apocalyptic number.

1100200034031 is a deficient number, since it is larger than the sum of its proper divisors (714041565969).

1100200034031 is a wasteful number, since it uses less digits than its factorization.

1100200034031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4189 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1100200034031 its reverse (1304300020011), we get a palindrome (2404500054042).

The spelling of 1100200034031 in words is "one trillion, one hundred billion, two hundred million, thirty-four thousand, thirty-one".

Divisors: 1 3 7 19 21 49 57 113 133 147 339 399 791 931 1249 2147 2373 2791 2793 3747 5537 6441 8373 8743 15029 16611 19537 23731 26229 45087 53029 58611 61201 71193 105203 136759 141137 159087 166117 183603 315383 315609 371203 410277 423411 498351 946149 987959 1113609 1162819 2207681 2598421 2681603 2963877 3485959 3488457 5992277 6623043 6915713 7795263 8044809 10457877 15453767 17976831 18771221 20747139 24401713 41945939 46361301 56313663 66233221 73205139 125837817 131398547 170811991 198699663 293621573 393913367 394195641 463632547 512435973 880864719 1181740101 1390897641 2757393569 3245427829 7484353973 8272180707 9736283487 19301754983 22453061919 52390477811 57905264949 157171433433 366733344677 1100200034031