Search a number
-
+
213010201020 = 223537281341461
BaseRepresentation
bin1100011001100001100…
…1011011100110111100
3202100211001021101010110
43012120121123212330
511442221102413040
6241504443510020
721250406556141
oct3063031334674
9670731241113
10213010201020
1182378783851
1235348828310
1317118853086
14a449d443c8
15581a73d980
hex319865b9bc

213010201020 has 96 divisors (see below), whose sum is σ = 614729941056. Its totient is φ = 55070668800.

The previous prime is 213010200973. The next prime is 213010201031. The reversal of 213010201020 is 20102010312.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 213010200987 and 213010201005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453090 + ... + 794550.

It is an arithmetic number, because the mean of its divisors is an integer number (6403436886).

Almost surely, 2213010201020 is an apocalyptic number.

213010201020 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 213010201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307364970528).

213010201020 is an abundant number, since it is smaller than the sum of its proper divisors (401719740036).

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

213010201020 is a wasteful number, since it uses less digits than its factorization.

213010201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341791 (or 341789 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 213010201020 its reverse (20102010312), we get a palindrome (233112211332).

The spelling of 213010201020 in words is "two hundred thirteen billion, ten million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 281 370 444 555 562 740 843 1110 1124 1405 1686 2220 2810 3372 4215 5620 8430 10397 16860 20794 31191 41588 51985 62382 103970 124764 155955 207940 311910 341461 623820 682922 1024383 1365844 1707305 2048766 3414610 4097532 5121915 6829220 10243830 12634057 20487660 25268114 37902171 50536228 63170285 75804342 95950541 126340570 151608684 189510855 191901082 252681140 287851623 379021710 383802164 479752705 575703246 758043420 959505410 1151406492 1439258115 1919010820 2878516230 3550170017 5757032460 7100340034 10650510051 14200680068 17750850085 21301020102 35501700170 42602040204 53252550255 71003400340 106505100510 213010201020