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1041100433412 = 22313531051119809
BaseRepresentation
bin11110010011001100110…
…10111110100000000100
310200112021002010202211120
433021212122332200010
5114024133202332122
62114135215233540
7135134303446344
oct17114632764004
93615232122746
101041100433412
1137158a064936
121499325188b0
1377238321120
1438564c26d24
151c134b6c75c
hexf2666be804

1041100433412 has 96 divisors (see below), whose sum is σ = 2668017260160. Its totient is φ = 313992806400.

The previous prime is 1041100433389. The next prime is 1041100433453. The reversal of 1041100433412 is 2143340011401.

It is a super-2 number, since 2×10411004334122 (a number of 25 digits) contains 22 as substring.

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, 8629764 + ... + 8749572.

It is an arithmetic number, because the mean of its divisors is an integer number (27791846460).

Almost surely, 21041100433412 is an apocalyptic number.

1041100433412 is a gapful number since it is divisible by the number (12) 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 1041100433412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334008630080).

1041100433412 is an abundant number, since it is smaller than the sum of its proper divisors (1626916826748).

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

1041100433412 is a wasteful number, since it uses less digits than its factorization.

1041100433412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120933 (or 120931 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1041100433412 its reverse (2143340011401), we get a palindrome (3184440444813).

The spelling of 1041100433412 in words is "one trillion, forty-one billion, one hundred million, four hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 318 636 689 1051 1378 2067 2102 2756 3153 4134 4204 6306 8268 12612 13663 27326 40989 54652 55703 81978 111406 119809 163956 167109 222812 239618 334218 359427 479236 668436 718854 724139 1437708 1448278 1557517 2172417 2896556 3115034 4344834 4672551 6230068 6349877 8689668 9345102 12699754 18690204 19049631 25399508 38099262 76198524 82548401 125919259 165096802 247645203 251838518 330193604 377757777 495290406 503677036 755515554 990580812 1511031108 1636950367 3273900734 4910851101 6547801468 6673720727 9821702202 13347441454 19643404404 20021162181 26694882908 40042324362 80084648724 86758369451 173516738902 260275108353 347033477804 520550216706 1041100433412