Search a number
-
+
101020112200 = 23527373193451
BaseRepresentation
bin101111000010101000…
…1001001010101001000
3100122202021011102010001
41132011101021111020
53123342122042300
6114224043332344
710204241533360
oct1360521112510
9318667142101
10101020112200
113992a246537
12176b35210b4
1396abc6c127
144c647259a0
152963a9016a
hex1785449548

101020112200 has 96 divisors (see below), whose sum is σ = 269145898560. Its totient is φ = 34542432000.

The previous prime is 101020112191. The next prime is 101020112233. The reversal of 101020112200 is 2211020101.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 425475 + ... + 618925.

It is an arithmetic number, because the mean of its divisors is an integer number (2803603110).

Almost surely, 2101020112200 is an apocalyptic number.

101020112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101020112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134572949280).

101020112200 is an abundant number, since it is smaller than the sum of its proper divisors (168125786360).

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

101020112200 is a wasteful number, since it uses less digits than its factorization.

101020112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193847 (or 193838 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101020112200 its reverse (2211020101), we get a palindrome (103231132301).

The spelling of 101020112200 in words is "one hundred one billion, twenty million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 373 700 746 1400 1492 1865 2611 2984 3730 5222 7460 9325 10444 13055 14920 18650 20888 26110 37300 52220 65275 74600 104440 130550 193451 261100 386902 522200 773804 967255 1354157 1547608 1934510 2708314 3869020 4836275 5416628 6770785 7738040 9672550 10833256 13541570 19345100 27083140 33853925 38690200 54166280 67707850 72157223 135415700 144314446 270831400 288628892 360786115 505100561 577257784 721572230 1010201122 1443144460 1803930575 2020402244 2525502805 2886288920 3607861150 4040804488 5051005610 7215722300 10102011220 12627514025 14431444600 20204022440 25255028050 50510056100 101020112200