Search a number
-
+
10212571740 = 22357792331321
BaseRepresentation
bin10011000001011011…
…10111101001011100
3222100201202101201210
421200231313221130
5131403404243430
64405214504420
7511035266430
oct114055675134
928321671653
1010212571740
114370804338
121b90205110
13c69a56a77
146cc4989c0
153eb89c2b0
hex260b77a5c

10212571740 has 192 divisors, whose sum is σ = 33261096960. Its totient is φ = 2293125120.

The previous prime is 10212571723. The next prime is 10212571741. The reversal of 10212571740 is 4717521201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10212571698 and 10212571707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212571741) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7730280 + ... + 7731600.

It is an arithmetic number, because the mean of its divisors is an integer number (173234880).

Almost surely, 210212571740 is an apocalyptic number.

10212571740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212571740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16630548480).

10212571740 is an abundant number, since it is smaller than the sum of its proper divisors (23048525220).

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

10212571740 is a wasteful number, since it uses less digits than its factorization.

10212571740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The spelling of 10212571740 in words is "ten billion, two hundred twelve million, five hundred seventy-one thousand, seven hundred forty".