Search a number
-
+
103331111100 = 223527157131321
BaseRepresentation
bin110000000111100000…
…0111010000010111100
3100212201022201022121220
41200033000322002330
53143110231023400
6115245240153340
710315432644450
oct1401700720274
9325638638556
10103331111100
113a90579a188
1218039468850
1399899956b9
145003618660
152a4b8d57a0
hex180f03a0bc

103331111100 has 144 divisors (see below), whose sum is σ = 341909949696. Its totient is φ = 23602752000.

The previous prime is 103331111099. The next prime is 103331111141. The reversal of 103331111100 is 1111133301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103331111100.

It is a congruent number.

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, 3283440 + ... + 3314760.

Almost surely, 2103331111100 is an apocalyptic number.

103331111100 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 103331111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170954974848).

103331111100 is an abundant number, since it is smaller than the sum of its proper divisors (238578838596).

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

103331111100 is a wasteful number, since it uses less digits than its factorization.

103331111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32916 (or 32909 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 103331111100 its reverse (1111133301), we get a palindrome (104442244401).

The spelling of 103331111100 in words is "one hundred three billion, three hundred thirty-one million, one hundred eleven 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 1571 2100 3142 4713 6284 7855 9426 10997 15710 18852 21994 23565 31321 31420 32991 39275 43988 47130 54985 62642 65982 78550 93963 94260 109970 117825 125284 131964 156605 157100 164955 187926 219247 219940 235650 274925 313210 329910 375852 438494 469815 471300 549850 626420 657741 659820 783025 824775 876988 939630 1096235 1099700 1315482 1566050 1649550 1879260 2192470 2349075 2630964 3132100 3288705 3299100 4384940 4698150 5481175 6577410 9396300 10962350 13154820 16443525 21924700 32887050 49205291 65774100 98410582 147615873 196821164 246026455 295231746 344437037 492052910 590463492 688874074 738079365 984105820 1033311111 1230132275 1377748148 1476158730 1722185185 2066622222 2460264550 2952317460 3444370370 3690396825 4133244444 4920529100 5166555555 6888740740 7380793650 8610925925 10333111110 14761587300 17221851850 20666222220 25832777775 34443703700 51665555550 103331111100