Search a number
-
+
103124400424140 = 223517174715786867
BaseRepresentation
bin10111011100101010000101…
…010000010100010011001100
3111112010121002202221010100010
4113130222011100110103030
5102004042233002033030
61003154410123033220
730502330530434544
oct2734520520242314
9445117082833303
10103124400424140
112a9498a3656837
12b69624906b810
134570787711274
141b6736763a324
15bdc7804886b0
hex5dca854144cc

103124400424140 has 96 divisors (see below), whose sum is σ = 305751068872704. Its totient is φ = 25880716549120.

The previous prime is 103124400424127. The next prime is 103124400424153. The reversal of 103124400424140 is 41424004421301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103124400424127) and next prime (103124400424153).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 103124400424098 and 103124400424107.

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, 14926987 + ... + 20713853.

It is an arithmetic number, because the mean of its divisors is an integer number (3184906967424).

Almost surely, 2103124400424140 is an apocalyptic number.

103124400424140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103124400424140 is an abundant number, since it is smaller than the sum of its proper divisors (202626668448564).

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

103124400424140 is a wasteful number, since it uses less digits than its factorization.

103124400424140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5804367 (or 5804365 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 103124400424140 its reverse (41424004421301), we get a palindrome (144548404845441).

The spelling of 103124400424140 in words is "one hundred three trillion, one hundred twenty-four billion, four hundred million, four hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 17471 34942 52413 69884 87355 104826 174710 209652 262065 297007 349420 524130 594014 891021 1048260 1188028 1485035 1782042 2970070 3564084 4455105 5786867 5940140 8910210 11573734 17360601 17820420 23147468 28934335 34721202 57868670 69442404 86803005 98376739 115737340 173606010 196753478 295130217 347212020 393506956 491883695 590260434 983767390 1180520868 1475651085 1967534780 2951302170 5902604340 101102353357 202204706714 303307060071 404409413428 505511766785 606614120142 1011023533570 1213228240284 1516535300355 1718740007069 2022047067140 3033070600710 3437480014138 5156220021207 6066141201420 6874960028276 8593700035345 10312440042414 17187400070690 20624880084828 25781100106035 34374800141380 51562200212070 103124400424140