Search a number
-
+
102210212020122 = 23237553332773549
BaseRepresentation
bin10111001111010110101011…
…011000010011111110011010
3111101220012102102011102210200
4113033112223120103332122
5101344103003234120442
61001214420112523030
730346305223265613
oct2717265330237632
9441805372142720
10102210212020122
112a627120086008
12b569035250476
1345054c65bc12b
141b35001b36c0a
15bc3ac751034c
hex5cf5ab613f9a

102210212020122 has 48 divisors (see below), whose sum is σ = 227444934467400. Its totient is φ = 33148646914176.

The previous prime is 102210212020067. The next prime is 102210212020123. The reversal of 102210212020122 is 221020212012201.

It is a happy number.

102210212020122 is a `hidden beast` number, since 10 + 221 + 0 + 212 + 0 + 201 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 88570478393721 + 13639733626401 = 9411189^2 + 3693201^2 .

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 = 102210212020095 and 102210212020104.

It is not an unprimeable number, because it can be changed into a prime (102210212020123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35465004 + ... + 38238552.

Almost surely, 2102210212020122 is an apocalyptic number.

102210212020122 is an abundant number, since it is smaller than the sum of its proper divisors (125234722447278).

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

102210212020122 is a wasteful number, since it uses less digits than its factorization.

102210212020122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828927 (or 2828924 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102210212020122 its reverse (221020212012201), we get a palindrome (323230424032323).

The spelling of 102210212020122 in words is "one hundred two trillion, two hundred ten billion, two hundred twelve million, twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 55333 110666 165999 331998 497997 995994 2047321 2773549 4094642 5547098 6141963 8320647 12283926 16641294 18425889 24961941 36851778 49923882 102621313 205242626 307863939 615727878 923591817 1847183634 153468786817 306937573634 460406360451 920812720902 1381219081353 2762438162706 5678345112229 11356690224458 17035035336687 34070070673374 51105106010061 102210212020122