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3140101020 = 2235747159073
BaseRepresentation
bin1011101100101010…
…0010001110011100
322002211122122210210
42323022202032130
522412331213040
61235331132420
7140546263320
oct27312421634
98084578723
103140101020
111371561411
12737744110
133b0728854
1421b075980
15135a1a480
hexbb2a239c

3140101020 has 96 divisors (see below), whose sum is σ = 10262181888. Its totient is φ = 702461952.

The previous prime is 3140101001. The next prime is 3140101031. The reversal of 3140101020 is 201010413.

It is a happy number.

3140101020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3140100987 and 3140101005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59797 + ... + 99276.

It is an arithmetic number, because the mean of its divisors is an integer number (106897728).

Almost surely, 23140101020 is an apocalyptic number.

3140101020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3140101020 is an abundant number, since it is smaller than the sum of its proper divisors (7122080868).

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

3140101020 is a wasteful number, since it uses less digits than its factorization.

3140101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159139 (or 159137 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 3140101020 is about 56036.6042868409. The cubic root of 3140101020 is about 1464.3600539511.

Adding to 3140101020 its reverse (201010413), we get a palindrome (3341111433).

The spelling of 3140101020 in words is "three billion, one hundred forty million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 60 70 84 94 105 140 141 188 210 235 282 329 420 470 564 658 705 940 987 1316 1410 1645 1974 2820 3290 3948 4935 6580 9870 19740 159073 318146 477219 636292 795365 954438 1113511 1590730 1908876 2227022 2386095 3181460 3340533 4454044 4772190 5567555 6681066 7476431 9544380 11135110 13362132 14952862 16702665 22270220 22429293 29905724 33405330 37382155 44858586 52335017 66810660 74764310 89717172 104670034 112146465 149528620 157005051 209340068 224292930 261675085 314010102 448585860 523350170 628020204 785025255 1046700340 1570050510 3140101020