Search a number
-
+
1002021111112 = 237611731695559
BaseRepresentation
bin11101001010011010001…
…11001100010101001000
310112210101120111111201011
432211031013030111020
5112404114401023422
62044153325533304
7132252005625160
oct16451507142510
93483346444634
101002021111112
11356a5588165a
12142246a14234
137364ac24c88
14366d8a395a0
151b0e8de9077
hexe94d1cc548

1002021111112 has 64 divisors (see below), whose sum is σ = 2195004153600. Its totient is φ = 419955805440.

The previous prime is 1002021111073. The next prime is 1002021111127. The reversal of 1002021111112 is 2111111202001.

It is a happy number.

It is a super-2 number, since 2×10020211111122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002021111092 and 1002021111101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256812 + ... + 1438747.

It is an arithmetic number, because the mean of its divisors is an integer number (34296939900).

Almost surely, 21002021111112 is an apocalyptic number.

It is an amenable number.

1002021111112 is an abundant number, since it is smaller than the sum of its proper divisors (1192983042488).

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

1002021111112 is a wasteful number, since it uses less digits than its factorization.

1002021111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695806 (or 1695802 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1002021111112 its reverse (2111111202001), we get a palindrome (3113132313113).

The spelling of 1002021111112 in words is "one trillion, two billion, twenty-one million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 61 122 173 244 346 427 488 692 854 1211 1384 1708 2422 3416 4844 9688 10553 21106 42212 73871 84424 147742 295484 590968 1695559 3391118 6782236 11868913 13564472 23737826 47475652 94951304 103429099 206858198 293331707 413716396 586663414 724003693 827432792 1173326828 1448007386 2053321949 2346653656 2896014772 4106643898 5792029544 8213287796 16426575592 17893234127 35786468254 71572936508 125252638889 143145873016 250505277778 501010555556 1002021111112