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210220221001021 = 71140146631460071
BaseRepresentation
bin101111110011000110110101…
…100110001110110100111101
31000120022212010122112021112221
4233303012311212032310331
5210023222003034013041
62023033500350525341
762164624022415640
oct5763066546166475
91016285118467487
10210220221001021
1160a89993363960
121b6b2106806851
13903b8b2b3c41a
1439ca9da607a57
15194849c7c92d1
hexbf31b598ed3d

210220221001021 has 32 divisors (see below), whose sum is σ = 262802867982336. Its totient is φ = 163364312160000.

The previous prime is 210220221001001. The next prime is 210220221001061. The reversal of 210220221001021 is 120100122022012.

It is a happy number.

It is not a de Polignac number, because 210220221001021 - 213 = 210220220992829 is a prime.

It is a super-2 number, since 2×2102202210010212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210220221000986 and 210220221001004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210220221001001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143249416 + ... + 144709486.

It is an arithmetic number, because the mean of its divisors is an integer number (8212589624448).

Almost surely, 2210220221001021 is an apocalyptic number.

It is an amenable number.

210220221001021 is a deficient number, since it is larger than the sum of its proper divisors (52582646981315).

210220221001021 is a wasteful number, since it uses less digits than its factorization.

210220221001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465153.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 210220221001021 its reverse (120100122022012), we get a palindrome (330320343023033).

The spelling of 210220221001021 in words is "two hundred ten trillion, two hundred twenty billion, two hundred twenty-one million, one thousand, twenty-one".

Divisors: 1 7 11 77 401 2807 4411 4663 30877 32641 51293 359051 1460071 1869863 10220497 13089041 16060781 20568493 112425467 143979451 585488471 4098419297 6440373181 6808311073 45082612267 47658177511 74891421803 524239952621 2730132740273 19110929181911 30031460143003 210220221001021