Search a number
-
+
334112306510100 = 223521113707688367
BaseRepresentation
bin100101111110111111001010…
…1010110000011100100010100
31121210222211021002211212200110
41023331332111112003210110
5322243044000431310400
63142333024043443020
7130242550264600206
oct11375762526034424
91553884232755613
10334112306510100
119750526280a448
1231581253526470
1311457869950a61
145c7119c78a776
152896063e45e50
hex12fdf95583914

334112306510100 has 36 divisors (see below), whose sum is σ = 966698273503424. Its totient is φ = 89096615069280.

The previous prime is 334112306510089. The next prime is 334112306510113. The reversal of 334112306510100 is 1015603211433.

It is a super-2 number, since 2×3341123065101002 (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 556853843884 + ... + 556853844483.

Almost surely, 2334112306510100 is an apocalyptic number.

334112306510100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334112306510100 is an abundant number, since it is smaller than the sum of its proper divisors (632585966993324).

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

334112306510100 is a wasteful number, since it uses less digits than its factorization.

334112306510100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113707688384 (or 1113707688377 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 334112306510100 its reverse (1015603211433), we get a palindrome (335127909721533).

The spelling of 334112306510100 in words is "three hundred thirty-four trillion, one hundred twelve billion, three hundred six million, five hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1113707688367 2227415376734 3341123065101 4454830753468 5568538441835 6682246130202 11137076883670 13364492260404 16705615325505 22274153767340 27842692209175 33411230651010 55685384418350 66822461302020 83528076627525 111370768836700 167056153255050 334112306510100