Search a number
-
+
100432145640 = 23351321963313
BaseRepresentation
bin101110110001000111…
…0001110110011101000
3100121020021210121121210
41131202032032303220
53121141112130030
6114045441233120
710153542103221
oct1354216166350
9317207717553
10100432145640
1139658367562
121756a6327a0
1396171c7818
144c0a5d2248
15292c14cbb0
hex176238ece8

100432145640 has 64 divisors (see below), whose sum is σ = 301323988800. Its totient is φ = 26779456512.

The previous prime is 100432145629. The next prime is 100432145699. The reversal of 100432145640 is 46541234001.

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 = 100432145598 and 100432145607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1554624 + ... + 1617936.

It is an arithmetic number, because the mean of its divisors is an integer number (4708187325).

Almost surely, 2100432145640 is an apocalyptic number.

100432145640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100432145640 is an abundant number, since it is smaller than the sum of its proper divisors (200891843160).

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

100432145640 is a wasteful number, since it uses less digits than its factorization.

100432145640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76546 (or 76542 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 100432145640 its reverse (46541234001), we get a palindrome (146973379641).

The spelling of 100432145640 in words is "one hundred billion, four hundred thirty-two million, one hundred forty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 13219 26438 39657 52876 63313 66095 79314 105752 126626 132190 158628 189939 198285 253252 264380 316565 317256 379878 396570 506504 528760 633130 759756 793140 949695 1266260 1519512 1586280 1899390 2532520 3798780 7597560 836934547 1673869094 2510803641 3347738188 4184672735 5021607282 6695476376 8369345470 10043214564 12554018205 16738690940 20086429128 25108036410 33477381880 50216072820 100432145640