Search a number
-
+
1022102020012 = 2217421187919001
BaseRepresentation
bin11101101111110100000…
…01110001111110101100
310121201020001021101002211
432313322001301332230
5113221231104120022
62101314105300204
7133562432552113
oct16677201617654
93551201241084
101022102020012
1136451aa42737
1214610ba94664
13754cb2ba8a8
1437681982c7a
151b8c1ce7e77
hexedfa071fac

1022102020012 has 48 divisors (see below), whose sum is σ = 1899503766720. Its totient is φ = 479566080000.

The previous prime is 1022102019977. The next prime is 1022102020013. The reversal of 1022102020012 is 2100202012201.

It is a happy number.

It is a super-2 number, since 2×10221020200122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1022102019974 and 1022102020001.

It is not an unprimeable number, because it can be changed into a prime (1022102020013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53782512 + ... + 53801512.

It is an arithmetic number, because the mean of its divisors is an integer number (39572995140).

Almost surely, 21022102020012 is an apocalyptic number.

It is an amenable number.

1022102020012 is a deficient number, since it is larger than the sum of its proper divisors (877401746708).

1022102020012 is a wasteful number, since it uses less digits than its factorization.

1022102020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21322 (or 21320 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1022102020012 its reverse (2100202012201), we get a palindrome (3122304032213).

The spelling of 1022102020012 in words is "one trillion, twenty-two billion, one hundred two million, twenty thousand, twelve".

Divisors: 1 2 4 17 34 68 421 842 1684 1879 3758 7157 7516 14314 19001 28628 31943 38002 63886 76004 127772 323017 646034 791059 1292068 1582118 3164236 7999421 13448003 15998842 26896006 31997684 35702879 53792012 71405758 135990157 142811516 271980314 543960628 606948943 1213897886 2427795772 15030912059 30061824118 60123648236 255525505003 511051010006 1022102020012