Search a number
-
+
210201121201122 = 23273363967439519
BaseRepresentation
bin101111110010110101000011…
…001010010001101111100010
31000120021000211112212220200200
4233302311003022101233202
5210022413344011413442
62023021021215530030
762163346510663062
oct5762650312215742
91016230745786620
10210201121201122
1160a81881a93567
121b6aa476229916
139039b5aacb28c
1439c9b07ad13a2
151947c30ac934c
hexbf2d43291be2

210201121201122 has 48 divisors (see below), whose sum is σ = 461676927528960. Its totient is φ = 69106870823616.

The previous prime is 210201121201117. The next prime is 210201121201207. The reversal of 210201121201122 is 221102121102012.

210201121201122 is a `hidden beast` number, since 21 + 0 + 201 + 121 + 201 + 122 = 666.

It is a super-2 number, since 2×2102011212011222 (a number of 29 digits) contains 22 as substring.

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 = 210201121201095 and 210201121201104.

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, 478032879 + ... + 478472397.

It is an arithmetic number, because the mean of its divisors is an integer number (9618269323520).

Almost surely, 2210201121201122 is an apocalyptic number.

210201121201122 is an abundant number, since it is smaller than the sum of its proper divisors (251475806327838).

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

210201121201122 is a wasteful number, since it uses less digits than its factorization.

210201121201122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803567 (or 803564 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 210201121201122 its reverse (221102121102012), we get a palindrome (431303242303134).

The spelling of 210201121201122 in words is "two hundred ten trillion, two hundred one billion, one hundred twenty-one million, two hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 73 146 219 438 657 1314 363967 439519 727934 879038 1091901 1318557 2183802 2637114 3275703 3955671 6551406 7911342 26569591 32084887 53139182 64169774 79708773 96254661 159417546 192509322 239126319 288763983 478252638 577527966 159970411873 319940823746 479911235619 959822471238 1439733706857 2879467413714 11677840066729 23355680133458 35033520200187 70067040400374 105100560600561 210201121201122