Search a number
-
+
100031032220 = 225710727724107
BaseRepresentation
bin101110100101001010…
…0000110101110011100
3100120012100000221110012
41131022110012232130
53114330421012340
6113541552102352
710140601513310
oct1351224065634
9316170027405
10100031032220
1139471a01069
12174782349b8
1395820864c2
144bad21bb40
152906d19565
hex174a506b9c

100031032220 has 96 divisors (see below), whose sum is σ = 243203046912. Its totient is φ = 33851766528.

The previous prime is 100031032183. The next prime is 100031032261. The reversal of 100031032220 is 22230130001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 100031032195 and 100031032204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4137407 + ... + 4161513.

It is an arithmetic number, because the mean of its divisors is an integer number (2533365072).

Almost surely, 2100031032220 is an apocalyptic number.

100031032220 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 100031032220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121601523456).

100031032220 is an abundant number, since it is smaller than the sum of its proper divisors (143172014692).

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

100031032220 is a wasteful number, since it uses less digits than its factorization.

100031032220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24507 (or 24505 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 100031032220 its reverse (22230130001), we get a palindrome (122261162221).

The spelling of 100031032220 in words is "one hundred billion, thirty-one million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 107 140 214 277 428 535 554 749 1070 1108 1385 1498 1939 2140 2770 2996 3745 3878 5540 7490 7756 9695 14980 19390 24107 29639 38780 48214 59278 96428 118556 120535 148195 168749 207473 241070 296390 337498 414946 482140 592780 674996 829892 843745 1037365 1687490 2074730 2579449 3374980 4149460 5158898 6677639 10317796 12897245 13355278 18056143 25794490 26710556 33388195 36112286 46743473 51588980 66776390 72224572 90280715 93486946 133552780 180561430 186973892 233717365 361122860 467434730 714507373 934869460 1429014746 2858029492 3572536865 5001551611 7145073730 10003103222 14290147460 20006206444 25007758055 50015516110 100031032220