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3131034100 = 22523131051
BaseRepresentation
bin1011101010011111…
…1100100111110100
322002012121000022221
42322213330213310
522403021042400
61234404532124
7140406231205
oct27247744764
98065530287
103131034100
111367429297
127346b1044
133ab8a28cc
14219b955ac
15134d28c1a
hexba9fc9f4

3131034100 has 72 divisors (see below), whose sum is σ = 7027494656. Its totient is φ = 1210860000.

The previous prime is 3131034083. The next prime is 3131034113. The reversal of 3131034100 is 14301313.

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, 2978575 + ... + 2979625.

Almost surely, 23131034100 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 3131034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513747328).

3131034100 is an abundant number, since it is smaller than the sum of its proper divisors (3896460556).

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

3131034100 is a wasteful number, since it uses less digits than its factorization.

3131034100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3131034100 is about 55955.6440406149. The cubic root of 3131034100 is about 1462.9492675802.

Adding to 3131034100 its reverse (14301313), we get a palindrome (3145335413).

The spelling of 3131034100 in words is "three billion, one hundred thirty-one million, thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 961 1051 1550 1922 2102 3100 3844 4204 4805 5255 9610 10510 19220 21020 24025 26275 29791 32581 48050 52550 59582 65162 96100 105100 119164 130324 148955 162905 297910 325810 595820 651620 744775 814525 1010011 1489550 1629050 2020022 2979100 3258100 4040044 5050055 10100110 20200220 25250275 31310341 50500550 62620682 101001100 125241364 156551705 313103410 626206820 782758525 1565517050 3131034100