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10021202220222 = 2335312372830613
BaseRepresentation
bin1001000111010011111000…
…1100101101010010111110
31022111000110210221122012000
42101310332030231102332
52303141410232021342
633151402102123130
72053002506264364
oct221647614552276
938430423848160
1010021202220222
113213a71445976
12115a2144204a6
13578cc292406b
14269058d61634
15125a1b4d744c
hex91d3e32d4be

10021202220222 has 64 divisors (see below), whose sum is σ = 22707864855360. Its totient is φ = 3274723700352.

The previous prime is 10021202220209. The next prime is 10021202220223. The reversal of 10021202220222 is 22202220212001.

10021202220222 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 202 + 220 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10021202220195 and 10021202220204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021202220223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2124988 + ... + 4955600.

It is an arithmetic number, because the mean of its divisors is an integer number (354810388365).

Almost surely, 210021202220222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021202220222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11353932427680).

10021202220222 is an abundant number, since it is smaller than the sum of its proper divisors (12686662635138).

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

10021202220222 is a wasteful number, since it uses less digits than its factorization.

10021202220222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831914 (or 2831908 counting only the distinct ones).

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

Adding to 10021202220222 its reverse (22202220212001), we get a palindrome (32223422432223).

The spelling of 10021202220222 in words is "ten trillion, twenty-one billion, two hundred two million, two hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 954 1237 1431 2474 2862 3711 7422 11133 22266 33399 65561 66798 131122 196683 393366 590049 1180098 1770147 2830613 3540294 5661226 8491839 16983678 25475517 50951034 76426551 150022489 152853102 300044978 450067467 900134934 1350202401 2700404802 3501468281 4050607203 7002936562 8101214406 10504404843 21008809686 31513214529 63026429058 94539643587 185577818893 189079287174 371155637786 556733456679 1113466913358 1670200370037 3340400740074 5010601110111 10021202220222