Search a number
-
+
1021212102210 = 235174407567
BaseRepresentation
bin11101101110001001111…
…11000000111001000010
310121121221000201212101020
432313010333000321002
5113212420244232320
62101045515250310
7133531405434426
oct16670477007102
93547830655336
101021212102210
11364103677283
12145b01a49996
13753b8b14301
14375d96ccb86
151b86db0d940
hexedc4fc0e42

1021212102210 has 80 divisors (see below), whose sum is σ = 2604095415936. Its totient is φ = 256303585024.

The previous prime is 1021212102203. The next prime is 1021212102319. The reversal of 1021212102210 is 122012121201.

1021212102210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1021212102210.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2301847 + ... + 2709413.

Almost surely, 21021212102210 is an apocalyptic number.

1021212102210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021212102210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302047707968).

1021212102210 is an abundant number, since it is smaller than the sum of its proper divisors (1582883313726).

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

1021212102210 is an frugal number, since it uses more digits than its factorization.

1021212102210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407645 (or 407594 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1021212102210 its reverse (122012121201), we get a palindrome (1143224223411).

The spelling of 1021212102210 in words is "one trillion, twenty-one billion, two hundred twelve million, one hundred two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 289 510 578 867 1445 1734 2890 4335 4913 8670 9826 14739 24565 29478 49130 73695 83521 147390 167042 250563 407567 417605 501126 815134 835210 1222701 1252815 2037835 2445402 2505630 4075670 6113505 6928639 12227010 13857278 20785917 34643195 41571834 69286390 103929585 117786863 207859170 235573726 353360589 588934315 706721178 1177868630 1766802945 2002376671 3533605890 4004753342 6007130013 10011883355 12014260026 20023766710 30035650065 34040403407 60071300130 68080806814 102121210221 170202017035 204242420442 340404034070 510606051105 1021212102210