Search a number
-
+
210021020210100 = 223521163642733397
BaseRepresentation
bin101111110000001101010100…
…010011100001001110110100
31000112121210222000002121210210
4233300031110103201032310
5210011441022133210400
62022402154050345420
762144342444552361
oct5760152423411664
91015553860077723
10210021020210100
1160a12461743330
121b67b59288b270
139025b88287138
1439c1100727468
1519431de5c2950
hexbf03544e13b4

210021020210100 has 72 divisors (see below), whose sum is σ = 662902711073568. Its totient is φ = 50914186716800.

The previous prime is 210021020210087. The next prime is 210021020210167. The reversal of 210021020210100 is 1012020120012.

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

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 23 ways as a sum of consecutive naturals, for example, 31821363399 + ... + 31821369998.

It is an arithmetic number, because the mean of its divisors is an integer number (9206982098244).

Almost surely, 2210021020210100 is an apocalyptic number.

210021020210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210021020210100 is an abundant number, since it is smaller than the sum of its proper divisors (452881690863468).

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

210021020210100 is a wasteful number, since it uses less digits than its factorization.

210021020210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63642733425 (or 63642733418 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210021020210100 its reverse (1012020120012), we get a palindrome (211033040330112).

The spelling of 210021020210100 in words is "two hundred ten trillion, twenty-one billion, twenty million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 63642733397 127285466794 190928200191 254570933588 318213666985 381856400382 636427333970 700070067367 763712800764 954641000955 1272854667940 1400140134734 1591068334925 1909282001910 2100210202101 2800280269468 3182136669850 3500350336835 3818564003820 4200420404202 4773205004775 6364273339700 7000700673670 8400840808404 9546410009550 10501051010505 14001401347340 17501751684175 19092820019100 21002102021010 35003503368350 42004204042020 52505255052525 70007006736700 105010510105050 210021020210100