Search a number
-
+
100212021210 = 23572281242603
BaseRepresentation
bin101110101010100011…
…0100001011111011010
3100120122221121010200010
41131111012201133122
53120213234134320
6114011535222350
710145230061100
oct1352506413732
9316587533603
10100212021210
1139555089844
12175089779b6
1395b0715592
144bc9291c70
152917b6aae0
hex17551a17da

100212021210 has 96 divisors (see below), whose sum is σ = 280772402112. Its totient is φ = 22823996160.

The previous prime is 100212021187. The next prime is 100212021241. The reversal of 100212021210 is 12120212001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291769 + ... + 534371.

It is an arithmetic number, because the mean of its divisors is an integer number (2924712522).

Almost surely, 2100212021210 is an apocalyptic number.

100212021210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100212021210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140386201056).

100212021210 is an abundant number, since it is smaller than the sum of its proper divisors (180560380902).

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

100212021210 is a wasteful number, since it uses less digits than its factorization.

100212021210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242908 (or 242901 counting only the distinct ones).

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

Adding to 100212021210 its reverse (12120212001), we get a palindrome (112332233211).

The spelling of 100212021210 in words is "one hundred billion, two hundred twelve million, twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 281 294 490 562 735 843 1405 1470 1686 1967 2810 3934 4215 5901 8430 9835 11802 13769 19670 27538 29505 41307 59010 68845 82614 137690 206535 242603 413070 485206 727809 1213015 1455618 1698221 2426030 3396442 3639045 5094663 7278090 8491105 10189326 11887547 16982210 23775094 25473315 35662641 50946630 59437735 68171443 71325282 118875470 136342886 178313205 204514329 340857215 356626410 409028658 477200101 681714430 954400202 1022571645 1431600303 2045143290 2386000505 2863200606 3340400707 4772001010 6680801414 7158001515 10021202121 14316003030 16702003535 20042404242 33404007070 50106010605 100212021210