Search a number
-
+
210000122100 = 22345225925941
BaseRepresentation
bin1100001110010011111…
…0111001000011110100
3202002001021021112010000
43003210332321003310
511420040012401400
6240250035231300
721112666404636
oct3034476710364
9662037245100
10210000122100
1181073659a1a
1234848748530
1316a590500a2
14a242276a56
1556e1358600
hex30e4fb90f4

210000122100 has 90 divisors (see below), whose sum is σ = 680737459094. Its totient is φ = 56000030400.

The previous prime is 210000122081. The next prime is 210000122117. The reversal of 210000122100 is 1221000012.

It can be written as a sum of positive squares in 3 ways, for example, as 1675428624 + 208324693476 = 40932^2 + 456426^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 12954871 + ... + 12971070.

Almost surely, 2210000122100 is an apocalyptic number.

210000122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210000122100 is an abundant number, since it is smaller than the sum of its proper divisors (470737336994).

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

210000122100 is a wasteful number, since it uses less digits than its factorization.

210000122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25925967 (or 25925951 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 210000122100 its reverse (1221000012), we get a palindrome (211221122112).

The spelling of 210000122100 in words is "two hundred ten billion, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 25925941 51851882 77777823 103703764 129629705 155555646 233333469 259259410 311111292 388889115 466666938 518518820 648148525 700000407 777778230 933333876 1166667345 1296297050 1400000814 1555556460 1944445575 2100001221 2333334690 2592594100 2800001628 3500002035 3888891150 4200002442 4666669380 5833336725 7000004070 7777782300 8400004884 10500006105 11666673450 14000008140 17500010175 21000012210 23333346900 35000020350 42000024420 52500030525 70000040700 105000061050 210000122100