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1002002310012 = 2231141185144551
BaseRepresentation
bin11101001010010111111…
…11011110001101111100
310112210100021010022110010
432211023333132031330
5112404100042410022
62044151414543220
7132251360051364
oct16451377361574
93483307108403
101002002310012
11356a46200060
12142240667b10
1373647071472
14366d63439a4
151b0e743350c
hexe94bfde37c

1002002310012 has 48 divisors (see below), whose sum is σ = 2612759917824. Its totient is φ = 296231280000.

The previous prime is 1002002309963. The next prime is 1002002310017. The reversal of 1002002310012 is 2100132002001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1002002310012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002002310017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92566864 + ... + 92577687.

It is an arithmetic number, because the mean of its divisors is an integer number (54432498288).

Almost surely, 21002002310012 is an apocalyptic number.

1002002310012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002002310012 is an abundant number, since it is smaller than the sum of its proper divisors (1610757607812).

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

1002002310012 is a wasteful number, since it uses less digits than its factorization.

1002002310012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185144610 (or 185144608 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1002002310012 its reverse (2100132002001), we get a palindrome (3102134312013).

The spelling of 1002002310012 in words is "one trillion, two billion, two million, three hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 2706 5412 185144551 370289102 555433653 740578204 1110867306 2036590061 2221734612 4073180122 6109770183 7590926591 8146360244 12219540366 15181853182 22772779773 24439080732 30363706364 45545559546 83500192501 91091119092 167000385002 250500577503 334000770004 501001155006 1002002310012