Search a number
-
+
213302020020 = 223537122978179
BaseRepresentation
bin1100011010100111001…
…0101000011110110100
3202101120101101022112120
43012221302220132310
511443320304120040
6241553430315540
721260552153325
oct3065162503664
9671511338476
10213302020020
118250847a781
123540a4b8bb0
131716414823b
14a4769c844c
1558361837d0
hex31a9ca87b4

213302020020 has 96 divisors (see below), whose sum is σ = 613894377600. Its totient is φ = 55297488384.

The previous prime is 213302020003. The next prime is 213302020051. The reversal of 213302020020 is 20020203312.

213302020020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2133020200202 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2689291 + ... + 2767469.

It is an arithmetic number, because the mean of its divisors is an integer number (6394733100).

Almost surely, 2213302020020 is an apocalyptic number.

213302020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213302020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306947188800).

213302020020 is an abundant number, since it is smaller than the sum of its proper divisors (400592357580).

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

213302020020 is a wasteful number, since it uses less digits than its factorization.

213302020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79457 (or 79455 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 213302020020 its reverse (20020203312), we get a palindrome (233322223332).

The spelling of 213302020020 in words is "two hundred thirteen billion, three hundred two million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 1229 2220 2458 3687 4916 6145 7374 12290 14748 18435 24580 36870 45473 73740 78179 90946 136419 156358 181892 227365 234537 272838 312716 390895 454730 469074 545676 682095 781790 909460 938148 1172685 1364190 1563580 2345370 2728380 2892623 4690740 5785246 8677869 11570492 14463115 17355738 28926230 34711476 43389345 57852460 86778690 96081991 173557380 192163982 288245973 384327964 480409955 576491946 960819910 1152983892 1441229865 1921639820 2882459730 3555033667 5764919460 7110067334 10665101001 14220134668 17775168335 21330202002 35550336670 42660404004 53325505005 71100673340 106651010010 213302020020