Search a number
-
+
3134110100 = 22521115311861
BaseRepresentation
bin1011101011001110…
…1011100110010100
322002102101021210212
42322303223212110
522404313010400
61234554504552
7140444332142
oct27263534624
98072337725
103134110100
11136913a340
12735735158
133ac40ba24
1421a356592
15135235335
hexbaceb994

3134110100 has 72 divisors (see below), whose sum is σ = 7428128736. Its totient is φ = 1138320000.

The previous prime is 3134110081. The next prime is 3134110183. The reversal of 3134110100 is 10114313.

It is a super-2 number, since 2×31341101002 = 19645292237844020000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1683170 + ... + 1685030.

Almost surely, 23134110100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714064368).

3134110100 is an abundant number, since it is smaller than the sum of its proper divisors (4294018636).

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

3134110100 is a wasteful number, since it uses less digits than its factorization.

3134110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417 (or 3410 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 3134110100 is about 55983.1233498096. The cubic root of 3134110100 is about 1463.4281891294.

Adding to 3134110100 its reverse (10114313), we get a palindrome (3144224413).

The spelling of 3134110100 in words is "three billion, one hundred thirty-four million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1531 1861 3062 3722 6124 7444 7655 9305 15310 16841 18610 20471 30620 33682 37220 38275 40942 46525 67364 76550 81884 84205 93050 102355 153100 168410 186100 204710 336820 409420 421025 511775 842050 1023550 1684100 2047100 2849191 5698382 11396764 14245955 28491910 31341101 56983820 62682202 71229775 125364404 142459550 156705505 284919100 313411010 626822020 783527525 1567055050 3134110100