Search a number
-
+
900120012012 = 2232135093778651
BaseRepresentation
bin11010001100100110101…
…01010110010011101100
310012001100220121022202200
431012103111112103230
5104221421210341022
61525302011421500
7122013545601534
oct15062325262354
93161326538680
10900120012012
1131781430a681
12126548454890
1366b5b5b8630
14317cd3064c4
1518632d35bac
hexd1935564ec

900120012012 has 72 divisors (see below), whose sum is σ = 2455141350480. Its totient is φ = 276415804800.

The previous prime is 900120011993. The next prime is 900120012019. The reversal of 900120012012 is 210210021009.

900120012012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (900120012019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1651114 + ... + 2127537.

Almost surely, 2900120012012 is an apocalyptic number.

It is an amenable number.

900120012012 is an abundant number, since it is smaller than the sum of its proper divisors (1555021338468).

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

900120012012 is a wasteful number, since it uses less digits than its factorization.

900120012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3779183 (or 3779178 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 900120012012 in words is "nine hundred billion, one hundred twenty million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 509 1018 1527 2036 3054 4581 6108 6617 9162 13234 18324 19851 26468 39702 59553 79404 119106 238212 3778651 7557302 11335953 15114604 22671906 34007859 45343812 49122463 68015718 98244926 136031436 147367389 196489852 294734778 442102167 589469556 884204334 1768408668 1923333359 3846666718 5770000077 7693333436 11540000154 17310000231 23080000308 25003333667 34620000462 50006667334 69240000924 75010001001 100013334668 150020002002 225030003003 300040004004 450060006006 900120012012