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1000111202020 = 225723221116397
BaseRepresentation
bin11101000110110110100…
…01011101111011100100
310112121110110200001222101
432203123101131323210
5112341211431431040
62043240021541444
7132153454645120
oct16433321357344
93477413601871
101000111202020
11356165778697
121419b3274884
1373405332058
1436597112580
151b0363d009a
hexe8db45dee4

1000111202020 has 144 divisors (see below), whose sum is σ = 2510744721408. Its totient is φ = 327780161280.

The previous prime is 1000111202003. The next prime is 1000111202039. The reversal of 1000111202020 is 202021110001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1000111201988 and 1000111202006.

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 47 ways as a sum of consecutive naturals, for example, 156337462 + ... + 156343858.

It is an arithmetic number, because the mean of its divisors is an integer number (17435727232).

Almost surely, 21000111202020 is an apocalyptic number.

1000111202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000111202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255372360704).

1000111202020 is an abundant number, since it is smaller than the sum of its proper divisors (1510633519388).

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

1000111202020 is a wasteful number, since it uses less digits than its factorization.

1000111202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8570 (or 8545 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1000111202020 its reverse (202021110001), we get a palindrome (1202132312021).

It can be divided in two parts, 100011 and 1202020, that added together give a palindrome (1302031).

The spelling of 1000111202020 in words is "one trillion, one hundred eleven million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 529 644 805 1058 1610 2111 2116 2645 3220 3703 4222 5290 6397 7406 8444 10555 10580 12794 14777 14812 18515 21110 25588 29554 31985 37030 42220 44779 48553 59108 63970 73885 74060 89558 97106 127940 147131 147770 179116 194212 223895 242765 294262 295540 339871 447790 485530 588524 679742 735655 895580 971060 1029917 1116719 1359484 1471310 1699355 2059834 2233438 2942620 3384013 3398710 4119668 4466876 5149585 5583595 6768026 6797420 7817033 10299170 11167190 13504067 13536052 15634066 16920065 20598340 22334380 23688091 27008134 31268132 33840130 39085165 47376182 54016268 67520335 67680260 78170330 94528469 94752364 118440455 135040670 156340660 189056938 236880910 270081340 310593541 378113876 472642345 473761820 621187082 945284690 1242374164 1552967705 1890569380 2174154787 3105935410 4348309574 6211870820 7143651443 8696619148 10870773935 14287302886 21741547870 28574605772 35718257215 43483095740 50005560101 71436514430 100011120202 142873028860 200022240404 250027800505 500055601010 1000111202020