Search a number
-
+
34100020010 = 2571728655479
BaseRepresentation
bin11111110000100001…
…010000001100101010
310021000111012111111002
4133300201100030222
51024314101120020
623355413435002
72315013246650
oct376041201452
9107014174432
1034100020010
1113509632821
12673803ba62
1332a5936444
141916b96dd0
15d48a59975
hex7f085032a

34100020010 has 32 divisors (see below), whose sum is σ = 74275004160. Its totient is φ = 11003703552.

The previous prime is 34100020007. The next prime is 34100020021. The reversal of 34100020010 is 1002000143.

It is a happy number.

It is a super-2 number, since 2×341000200102 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34100019973 and 34100020000.

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, 14326550 + ... + 14328929.

It is an arithmetic number, because the mean of its divisors is an integer number (2321093880).

Almost surely, 234100020010 is an apocalyptic number.

34100020010 is an abundant number, since it is smaller than the sum of its proper divisors (40174984150).

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

34100020010 is a wasteful number, since it uses less digits than its factorization.

34100020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28655510.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 34100020010 its reverse (1002000143), we get a palindrome (35102020153).

The spelling of 34100020010 in words is "thirty-four billion, one hundred million, twenty thousand, ten".

Divisors: 1 2 5 7 10 14 17 34 35 70 85 119 170 238 595 1190 28655479 57310958 143277395 200588353 286554790 401176706 487143143 974286286 1002941765 2005883530 2435715715 3410002001 4871431430 6820004002 17050010005 34100020010