Search a number
-
+
201012020001020 = 22579569322347233
BaseRepresentation
bin101101101101000111000010…
…000011000011100011111100
3222100201120011021210210122102
4231231013002003003203330
5202321340104110013040
61551303351442204232
760224432146352354
oct5555070203034374
9870646137723572
10201012020001020
115905979aa10988
121a665586953678
1388214768a2c57
14378d0685b3b64
151838bb5bc7515
hexb6d1c20c38fc

201012020001020 has 48 divisors (see below), whose sum is σ = 427543705330560. Its totient is φ = 79373077395456.

The previous prime is 201012020000993. The next prime is 201012020001061. The reversal of 201012020001020 is 20100020210102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201012020000992 and 201012020001010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2178677 + ... + 20168556.

It is an arithmetic number, because the mean of its divisors is an integer number (8907160527720).

Almost surely, 2201012020001020 is an apocalyptic number.

201012020001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012020001020 is an abundant number, since it is smaller than the sum of its proper divisors (226531685329540).

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

201012020001020 is a wasteful number, since it uses less digits than its factorization.

201012020001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22353014 (or 22353012 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201012020001020 its reverse (20100020210102), we get a palindrome (221112040211122).

The spelling of 201012020001020 in words is "two hundred one trillion, twelve billion, twenty million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 79 158 316 395 790 1580 5693 11386 22772 28465 56930 113860 449747 899494 1798988 2248735 4497470 8994940 22347233 44694466 89388932 111736165 223472330 446944660 1765431407 3530862814 7061725628 8827157035 17654314070 35308628140 127222797469 254445594938 508891189876 636113987345 1272227974690 2544455949380 10050601000051 20101202000102 40202404000204 50253005000255 100506010000510 201012020001020