Search a number
-
+
149433510100 = 22527213476443
BaseRepresentation
bin1000101100101011101…
…1100110100011010100
3112021201021111211211011
42023022323212203110
54422014434310400
6152352050422004
713540046610130
oct2131273464324
9467637454734
10149433510100
1158413358986
1224b64b91904
13111260b7434
14733844c3c0
153d48ed08ba
hex22caee68d4

149433510100 has 36 divisors (see below), whose sum is σ = 370595106784. Its totient is φ = 51234346080.

The previous prime is 149433510097. The next prime is 149433510103. The reversal of 149433510100 is 1015334941.

149433510100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (149433510097) and next prime (149433510103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149433510103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 106737522 + ... + 106738921.

Almost surely, 2149433510100 is an apocalyptic number.

149433510100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149433510100 is an abundant number, since it is smaller than the sum of its proper divisors (221161596684).

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

149433510100 is a wasteful number, since it uses less digits than its factorization.

149433510100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213476464 (or 213476457 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 149433510100 in words is "one hundred forty-nine billion, four hundred thirty-three million, five hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 213476443 426952886 853905772 1067382215 1494335101 2134764430 2988670202 4269528860 5336911075 5977340404 7471675505 10673822150 14943351010 21347644300 29886702020 37358377525 74716755050 149433510100