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1022010010021 = 711132233414679
BaseRepresentation
bin11101101111101001000…
…10110010100110100101
310121200222122010210010101
432313310202302212211
5113221034030310041
62101301021224101
7133560234515320
oct16676442624645
93550878123111
101022010010021
11364483009220
121460a5102031
13754b5213b00
14376736717b7
151b8b8bc0b31
hexedf48b29a5

1022010010021 has 48 divisors (see below), whose sum is σ = 1439738357760. Its totient is φ = 703150493760.

The previous prime is 1022010009953. The next prime is 1022010010039. The reversal of 1022010010021 is 1200100102201.

It is not a de Polignac number, because 1022010010021 - 215 = 1022009977253 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022010010081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1408041 + ... + 2006638.

It is an arithmetic number, because the mean of its divisors is an integer number (29994549120).

Almost surely, 21022010010021 is an apocalyptic number.

1022010010021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022010010021 is a deficient number, since it is larger than the sum of its proper divisors (417728347739).

1022010010021 is a wasteful number, since it uses less digits than its factorization.

1022010010021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3414746 (or 3414733 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1022010010021 its reverse (1200100102201), we get a palindrome (2222110112222).

The spelling of 1022010010021 in words is "one trillion, twenty-two billion, ten million, ten thousand, twenty-one".

Divisors: 1 7 11 13 23 77 91 143 161 169 253 299 1001 1183 1771 1859 2093 3289 3887 13013 23023 27209 42757 299299 3414679 23902753 37561469 44390827 78537617 262930283 310735789 488299097 549763319 577080751 863913787 1020989021 3418093679 4039565257 6047396509 6347888261 7146923147 11230879231 13272857273 44435217827 78616154617 92910000911 146001430003 1022010010021