Search a number
-
+
106306991428 = 221119314101983
BaseRepresentation
bin110001100000001100…
…0111111010101000100
3101011101201100200222211
41203000120333111010
53220204042211203
6120500423433204
710452246342421
oct1430030772504
9334351320884
10106306991428
11410a2586110
1218729bb5804
13a042383631
145206942d48
152b72cb2c6d
hex18c063f544

106306991428 has 48 divisors (see below), whose sum is σ = 220522659840. Its totient is φ = 44301405600.

The previous prime is 106306991383. The next prime is 106306991443. The reversal of 106306991428 is 824199603601.

It is a happy number.

It is a super-2 number, since 2×1063069914282 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2025076 + ... + 2076907.

It is an arithmetic number, because the mean of its divisors is an integer number (4594222080).

Almost surely, 2106306991428 is an apocalyptic number.

It is an amenable number.

106306991428 is an abundant number, since it is smaller than the sum of its proper divisors (114215668412).

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

106306991428 is a wasteful number, since it uses less digits than its factorization.

106306991428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4102048 (or 4102046 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The spelling of 106306991428 in words is "one hundred six billion, three hundred six million, nine hundred ninety-one thousand, four hundred twenty-eight".

Divisors: 1 2 4 11 19 22 31 38 44 62 76 124 209 341 418 589 682 836 1178 1364 2356 6479 12958 25916 4101983 8203966 16407932 45121813 77937677 90243626 127161473 155875354 180487252 254322946 311750708 508645892 857314447 1398776203 1714628894 2416067987 2797552406 3429257788 4832135974 5595104812 9664271948 26576747857 53153495714 106306991428