Search a number
-
+
101121002100 = 22335237452223
BaseRepresentation
bin101111000101101001…
…0000000101001110100
3100200000022000011001000
41132023102000221310
53124043434031400
6114242050003300
710206605223126
oct1361322005164
9320008004030
10101121002100
1139981195618
1217721276530
1396c6b349b1
144c73ca9216
15296c86d600
hex178b480a74

101121002100 has 72 divisors (see below), whose sum is σ = 325085304320. Its totient is φ = 26965599840.

The previous prime is 101121002083. The next prime is 101121002123. The reversal of 101121002100 is 1200121101.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 18723412 + ... + 18728811.

Almost surely, 2101121002100 is an apocalyptic number.

101121002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121002100 is an abundant number, since it is smaller than the sum of its proper divisors (223964302220).

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

101121002100 is a wasteful number, since it uses less digits than its factorization.

101121002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37452246 (or 37452233 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101121002100 its reverse (1200121101), we get a palindrome (102321123201).

The spelling of 101121002100 in words is "one hundred one billion, one hundred twenty-one million, 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 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 37452223 74904446 112356669 149808892 187261115 224713338 337070007 374522230 449426676 561783345 674140014 749044460 936305575 1011210021 1123566690 1348280028 1685350035 1872611150 2022420042 2247133380 2808916725 3370700070 3745222300 4044840084 5056050105 5617833450 6741400140 8426750175 10112100210 11235666900 16853500350 20224200420 25280250525 33707000700 50560501050 101121002100