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1002222012012 = 2231319477194289
BaseRepresentation
bin11101001010110010001…
…01100100011001101100
310112210220120112022221020
432211121011210121230
5112410022313341022
62044225303534140
7132256665354114
oct16453105443154
93483816468836
101002222012012
1135704921a461
121422a215a350
1373680736350
14367175b4044
151b10b88035c
hexe95916466c

1002222012012 has 96 divisors (see below), whose sum is σ = 2707355212800. Its totient is φ = 285929782272.

The previous prime is 1002222011977. The next prime is 1002222012049. The reversal of 1002222012012 is 2102102222001.

It is a super-2 number, since 2×10022220120122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002222011982 and 1002222012000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3457837 + ... + 3736452.

It is an arithmetic number, because the mean of its divisors is an integer number (28201616800).

Almost surely, 21002222012012 is an apocalyptic number.

1002222012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002222012012 is an abundant number, since it is smaller than the sum of its proper divisors (1705133200788).

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

1002222012012 is a wasteful number, since it uses less digits than its factorization.

1002222012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7194375 (or 7194373 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1002222012012 its reverse (2102102222001), we get a palindrome (3104324234013).

The spelling of 1002222012012 in words is "one trillion, two billion, two hundred twenty-two million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 47 52 57 76 78 94 114 141 156 188 228 247 282 494 564 611 741 893 988 1222 1482 1786 1833 2444 2679 2964 3572 3666 5358 7332 10716 11609 23218 34827 46436 69654 139308 7194289 14388578 21582867 28777156 43165734 86331468 93525757 136691491 187051514 273382982 280577271 338131583 374103028 410074473 546765964 561154542 676263166 820148946 1014394749 1122309084 1352526332 1640297892 1776989383 2028789498 3553978766 4057578996 4395710579 5330968149 6424500077 7107957532 8791421158 10661936298 12849000154 13187131737 17582842316 19273500231 21323872596 25698000308 26374263474 38547000462 52748526948 77094000924 83518501001 167037002002 250555503003 334074004004 501111006006 1002222012012