Search a number
-
+
100122452040 = 23351364181059
BaseRepresentation
bin101110100111111000…
…0110110000001001000
3100120102201001112212110
41131033300312001020
53120022321431130
6113555015342320
710143061541352
oct1351760660110
9316381045773
10100122452040
1139509572136
12174a29819a0
139597cb4780
144bbb4180d2
15290ed76ab0
hex174fc36048

100122452040 has 64 divisors (see below), whose sum is σ = 323472542400. Its totient is φ = 24645526272.

The previous prime is 100122452011. The next prime is 100122452081. The reversal of 100122452040 is 40254221001.

It is a junction number, because it is equal to n+sod(n) for n = 100122451998 and 100122452016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32088970 + ... + 32092089.

It is an arithmetic number, because the mean of its divisors is an integer number (5054258475).

Almost surely, 2100122452040 is an apocalyptic number.

100122452040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122452040 is an abundant number, since it is smaller than the sum of its proper divisors (223350090360).

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

100122452040 is a wasteful number, since it uses less digits than its factorization.

100122452040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64181086 (or 64181082 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 100122452040 its reverse (40254221001), we get a palindrome (140376673041).

The spelling of 100122452040 in words is "one hundred billion, one hundred twenty-two million, four hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 64181059 128362118 192543177 256724236 320905295 385086354 513448472 641810590 770172708 834353767 962715885 1283621180 1540345416 1668707534 1925431770 2503061301 2567242360 3337415068 3850863540 4171768835 5006122602 6674830136 7701727080 8343537670 10012245204 12515306505 16687075340 20024490408 25030613010 33374150680 50061226020 100122452040