Search a number
-
+
1000213101010 = 251921014016841
BaseRepresentation
bin11101000111000010101…
…10001011100111010010
310112121201120102002010001
432203201112023213102
5112341414023213020
62043254102000214
7132156133036534
oct16434126134722
93477646362101
101000213101010
11356208246932
12141a2141606a
137342048c006
14365a6879854
151b04030c50a
hexe8e158b9d2

1000213101010 has 96 divisors (see below), whose sum is σ = 1924007565744. Its totient is φ = 374284800000.

The previous prime is 1000213101007. The next prime is 1000213101053. The reversal of 1000213101010 is 101013120001.

1000213101010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 993074033961 + 7139067049 = 996531^2 + 84493^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146205190 + ... + 146212030.

Almost surely, 21000213101010 is an apocalyptic number.

1000213101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000213101010 is a deficient number, since it is larger than the sum of its proper divisors (923794464734).

1000213101010 is a wasteful number, since it uses less digits than its factorization.

1000213101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7388 (or 7369 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1000213101010 its reverse (101013120001), we get a palindrome (1101226221011).

The spelling of 1000213101010 in words is "one trillion, two hundred thirteen million, one hundred one thousand, ten".

Divisors: 1 2 5 10 19 38 95 101 190 202 361 401 505 722 802 1010 1805 1919 2005 3610 3838 4010 6841 7619 9595 13682 15238 19190 34205 36461 38095 40501 68410 72922 76190 81002 129979 144761 182305 202505 259958 289522 364610 405010 649895 690941 723805 769519 1299790 1381882 1447610 1539038 2469601 2743241 3454705 3847595 4939202 5486482 6909410 7695190 12348005 13127879 13716205 14620861 24696010 26255758 27432410 29241722 52121579 65639395 73104305 104243158 131278790 146208610 249429701 260607895 277067341 498859402 521215790 554134682 990310001 1247148505 1385336705 1980620002 2494297010 2770673410 4951550005 5264279479 9903100010 10528558958 26321397395 52642794790 100021310101 200042620202 500106550505 1000213101010