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13114403100 = 22325214819839
BaseRepresentation
bin11000011011010110…
…11110100100011100
31020211222001201000100
430031223132210130
5203324241344400
610005155101100
7642662405241
oct141553364434
936758051010
1013114403100
11561a814177
12265bba1790
13130ccb9246
148c5a295c8
1551b4ee100
hex30dade91c

13114403100 has 108 divisors (see below), whose sum is σ = 41138304480. Its totient is φ = 3494457600.

The previous prime is 13114403087. The next prime is 13114403123. The reversal of 13114403100 is 130441131.

13114403100 is a `hidden beast` number, since 1 + 311 + 4 + 40 + 310 + 0 = 666.

It is a super-2 number, since 2×131144031002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1327981 + ... + 1337819.

Almost surely, 213114403100 is an apocalyptic number.

13114403100 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 13114403100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20569152240).

13114403100 is an abundant number, since it is smaller than the sum of its proper divisors (28023901380).

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

13114403100 is a wasteful number, since it uses less digits than its factorization.

13114403100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11340 (or 11330 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13114403100 its reverse (130441131), we get a palindrome (13244844231).

The spelling of 13114403100 in words is "thirteen billion, one hundred fourteen million, four hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1481 2962 4443 5924 7405 8886 9839 13329 14810 17772 19678 22215 26658 29517 29620 37025 39356 44430 49195 53316 59034 66645 74050 88551 88860 98390 111075 118068 133290 147585 148100 177102 196780 222150 245975 266580 295170 333225 354204 442755 444300 491950 590340 666450 737925 885510 983900 1332900 1475850 1771020 2213775 2951700 4427550 8855100 14571559 29143118 43714677 58286236 72857795 87429354 131144031 145715590 174858708 218573385 262288062 291431180 364288975 437146770 524576124 655720155 728577950 874293540 1092866925 1311440310 1457155900 2185733850 2622880620 3278600775 4371467700 6557201550 13114403100