Search a number
-
+
10212113100 = 2235274862911
BaseRepresentation
bin10011000001011000…
…00111101011001100
3222100200220002121010
421200230013223030
5131403300104400
64405201005220
7511031346330
oct114054075314
928320802533
1010212113100
1143705207a2
121b90023810
13c69926097
146cc3b97c0
153eb80b450
hex260b07acc

10212113100 has 72 divisors (see below), whose sum is σ = 33768060928. Its totient is φ = 2334196800.

The previous prime is 10212113083. The next prime is 10212113113. The reversal of 10212113100 is 131121201.

It is a super-2 number, since 2×102121131002 (a number of 21 digits) contains 22 as substring.

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

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, 2429356 + ... + 2433555.

Almost surely, 210212113100 is an apocalyptic number.

10212113100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212113100 is an abundant number, since it is smaller than the sum of its proper divisors (23555947828).

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

10212113100 is a wasteful number, since it uses less digits than its factorization.

10212113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4862935 (or 4862928 counting only the distinct ones).

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

Adding to 10212113100 its reverse (131121201), we get a palindrome (10343234301).

The spelling of 10212113100 in words is "ten billion, two hundred twelve million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 4862911 9725822 14588733 19451644 24314555 29177466 34040377 48629110 58354932 68080754 72943665 97258220 102121131 121572775 136161508 145887330 170201885 204242262 243145550 291774660 340403770 364718325 408484524 486291100 510605655 680807540 729436650 851009425 1021211310 1458873300 1702018850 2042422620 2553028275 3404037700 5106056550 10212113100