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3121143100 = 2252475711163
BaseRepresentation
bin1011101000001000…
…1101110100111100
322001111222111102121
42322002031310330
522343003034400
61233412532324
7140226164365
oct27202156474
98044874377
103121143100
111361893009
127313210a4
133a981b84a
1421873cb6c
1513402321a
hexba08dd3c

3121143100 has 72 divisors (see below), whose sum is σ = 6935056128. Its totient is φ = 1218705600.

The previous prime is 3121143049. The next prime is 3121143119. The reversal of 3121143100 is 13411213.

3121143100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31211431002 = 19483068501355220000, 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, 2683119 + ... + 2684281.

It is an arithmetic number, because the mean of its divisors is an integer number (96320224).

Almost surely, 23121143100 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 3121143100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467528064).

3121143100 is an abundant number, since it is smaller than the sum of its proper divisors (3813913028).

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

3121143100 is a wasteful number, since it uses less digits than its factorization.

3121143100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 3121143100 is about 55867.1916244230. The cubic root of 3121143100 is about 1461.4071471410.

Adding to 3121143100 its reverse (13411213), we get a palindrome (3134554313).

The spelling of 3121143100 in words is "three billion, one hundred twenty-one million, one hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 571 940 1142 1163 1175 2284 2326 2350 2855 4652 4700 5710 5815 11420 11630 14275 23260 26837 28550 29075 53674 54661 57100 58150 107348 109322 116300 134185 218644 268370 273305 536740 546610 664073 670925 1093220 1328146 1341850 1366525 2656292 2683700 2733050 3320365 5466100 6640730 13281460 16601825 31211431 33203650 62422862 66407300 124845724 156057155 312114310 624228620 780285775 1560571550 3121143100