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3101003412 = 2231347577733
BaseRepresentation
bin1011100011010101…
…1000111010010100
322000010002021222020
42320311120322110
522322324102122
61231413133140
7136563044163
oct27065307224
98003067866
103101003412
111351487841
1272662a1b0
133a55b9980
14215bb93da
15132395c5c
hexb8d58e94

3101003412 has 96 divisors (see below), whose sum is σ = 7982725632. Its totient is φ = 930963456.

The previous prime is 3101003401. The next prime is 3101003413. The reversal of 3101003412 is 2143001013.

3101003412 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 2×31010034122 = 19232444322471283488, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3101003391 and 3101003400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3101003413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4230198 + ... + 4230930.

It is an arithmetic number, because the mean of its divisors is an integer number (83153392).

Almost surely, 23101003412 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 3101003412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991362816).

3101003412 is an abundant number, since it is smaller than the sum of its proper divisors (4881722220).

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

3101003412 is a wasteful number, since it uses less digits than its factorization.

3101003412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3101003412 is about 55686.6538050187. The cubic root of 3101003412 is about 1458.2570387239.

Adding to 3101003412 its reverse (2143001013), we get a palindrome (5244004425).

The spelling of 3101003412 in words is "three billion, one hundred one million, three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 188 282 564 577 611 733 1154 1222 1466 1731 1833 2199 2308 2444 2932 3462 3666 4398 6924 7332 7501 8796 9529 15002 19058 22503 27119 28587 30004 34451 38116 45006 54238 57174 68902 81357 90012 103353 108476 114348 137804 162714 206706 325428 352547 413412 422941 447863 705094 845882 895726 1057641 1268823 1343589 1410188 1691764 1791452 2115282 2537646 2687178 4230564 5075292 5374356 5498233 10996466 16494699 19878227 21992932 32989398 39756454 59634681 65978796 79512908 119269362 238538724 258416951 516833902 775250853 1033667804 1550501706 3101003412