Search a number
-
+
21102121200 = 2435237475273
BaseRepresentation
bin10011101001110010…
…001101000011110000
32000110122100211022110
4103221302031003300
5321204120334300
613405535405320
71344634033146
oct235162150360
960418324273
1021102121200
118a49662a96
12410b083840
131cb3b1bc64
141042817596
158378c0550
hex4e9c8d0f0

21102121200 has 120 divisors (see below), whose sum is σ = 69424223728. Its totient is φ = 5475133440.

The previous prime is 21102121153. The next prime is 21102121217. The reversal of 21102121200 is 212120112.

It is a tau number, because it is divible by the number of its divisors (120).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193237 + ... + 282036.

Almost surely, 221102121200 is an apocalyptic number.

21102121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21102121200 is an abundant number, since it is smaller than the sum of its proper divisors (48322102528).

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

21102121200 is a wasteful number, since it uses less digits than its factorization.

21102121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475331 (or 475320 counting only the distinct ones).

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

Adding to 21102121200 its reverse (212120112), we get a palindrome (21314241312).

It can be divided in two parts, 211021 and 21200, that added together give a triangular number (232221 = T681).

The spelling of 21102121200 in words is "twenty-one billion, one hundred two million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 148 150 185 200 222 240 296 300 370 400 444 555 592 600 740 888 925 1110 1200 1480 1776 1850 2220 2775 2960 3700 4440 5550 7400 8880 11100 14800 22200 44400 475273 950546 1425819 1901092 2376365 2851638 3802184 4752730 5703276 7129095 7604368 9505460 11406552 11881825 14258190 17585101 19010920 22813104 23763650 28516380 35170202 35645475 38021840 47527300 52755303 57032760 70340404 71290950 87925505 95054600 105510606 114065520 140680808 142581900 175851010 190109200 211021212 263776515 281361616 285163800 351702020 422042424 439627525 527553030 570327600 703404040 844084848 879255050 1055106060 1318882575 1406808080 1758510100 2110212120 2637765150 3517020200 4220424240 5275530300 7034040400 10551060600 21102121200