Search a number
-
+
20021222212002 = 23211509198658711
BaseRepresentation
bin1001000110101100011011…
…10101101000000110100010
32121220000021101210120120200
410203112031311220012202
510111011430341241002
6110325342243450030
74134325356605034
oct443261565500642
977800241716520
1020021222212002
116419a52a94020
1222b42b6986916
13b22cbac5c02b
144d30649b5c54
1524abe8078b1c
hex12358dd681a2

20021222212002 has 48 divisors (see below), whose sum is σ = 47415861380160. Its totient is φ = 6055117480800.

The previous prime is 20021222211989. The next prime is 20021222212021.

20021222212002 is a `hidden beast` number, since 200 + 21 + 22 + 221 + 200 + 2 = 666.

20021222212002 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99228574 + ... + 99430137.

It is an arithmetic number, because the mean of its divisors is an integer number (987830445420).

Almost surely, 220021222212002 is an apocalyptic number.

20021222212002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20021222212002 is an abundant number, since it is smaller than the sum of its proper divisors (27394639168158).

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

20021222212002 is a wasteful number, since it uses less digits than its factorization.

20021222212002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198659239 (or 198659236 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 2002122 and 2212002, that added together give a palindrome (4214124).

The spelling of 20021222212002 in words is "twenty trillion, twenty-one billion, two hundred twenty-two million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 509 1018 1527 3054 4581 5599 9162 11198 16797 33594 50391 100782 198658711 397317422 595976133 1191952266 1787928399 2185245821 3575856798 4370491642 6555737463 13111474926 19667212389 39334424778 101117283899 202234567798 303351851697 606703703394 910055555091 1112290122889 1820111110182 2224580245778 3336870368667 6673740737334 10010611106001 20021222212002