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1010022020211 = 31278533107827
BaseRepresentation
bin11101011001010100000…
…00001111010001110011
310120120001011121210122210
432230222000033101303
5113022011114121321
62051555301103203
7132654200342601
oct16545200172163
93516034553583
101010022020211
1135a391110026
121438ba3b7b03
13743246c5b09
1436c5749c871
151b416523b76
hexeb2a00f473

1010022020211 has 16 divisors (see below), whose sum is σ = 1358891577344. Its totient is φ = 667262673504.

The previous prime is 1010022020131. The next prime is 1010022020291. The reversal of 1010022020211 is 1120202200101.

It is an interprime number because it is at equal distance from previous prime (1010022020131) and next prime (1010022020291).

It is not a de Polignac number, because 1010022020211 - 217 = 1010021889139 is a prime.

It is a super-2 number, since 2×10100220202112 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010022020291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1228921 + ... + 1878906.

It is an arithmetic number, because the mean of its divisors is an integer number (84930723584).

Almost surely, 21010022020211 is an apocalyptic number.

1010022020211 is a deficient number, since it is larger than the sum of its proper divisors (348869557133).

1010022020211 is a wasteful number, since it uses less digits than its factorization.

1010022020211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108810.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1010022020211 its reverse (1120202200101), we get a palindrome (2130224220312).

The spelling of 1010022020211 in words is "one trillion, ten billion, twenty-two million, twenty thousand, two hundred eleven".

Divisors: 1 3 127 381 853 2559 108331 324993 3107827 9323481 394694029 1184082087 2650976431 7952929293 336674006737 1010022020211