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1013002110 = 2325232292137
BaseRepresentation
bin111100011000010…
…010111101111110
32121121010211122200
4330120102331332
54033312031420
6244304052330
734050242631
oct7430227576
92547124580
101013002110
1147a8a452a
122433040a6
13131b40343
1498773c18
155ddedb90
hex3c612f7e

1013002110 has 96 divisors (see below), whose sum is σ = 2761611840. Its totient is φ = 257140224.

The previous prime is 1013002099. The next prime is 1013002163. The reversal of 1013002110 is 112003101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1013002092 and 1013002101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 472962 + ... + 475098.

It is an arithmetic number, because the mean of its divisors is an integer number (28766790).

Almost surely, 21013002110 is an apocalyptic number.

1013002110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013002110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380805920).

1013002110 is an abundant number, since it is smaller than the sum of its proper divisors (1748609730).

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

1013002110 is a wasteful number, since it uses less digits than its factorization.

1013002110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1013002110 is about 31827.6940729296. The cubic root of 1013002110 is about 1004.3153873112.

Adding to 1013002110 its reverse (112003101), we get a palindrome (1125005211).

Subtracting from 1013002110 its reverse (112003101), we obtain a palindrome (900999009).

The spelling of 1013002110 in words is "one billion, thirteen million, two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 229 230 345 414 458 687 690 1035 1145 1374 2061 2070 2137 2290 3435 4122 4274 5267 6411 6870 10305 10534 10685 12822 15801 19233 20610 21370 26335 31602 32055 38466 47403 49151 52670 64110 79005 94806 96165 98302 147453 158010 192330 237015 245755 294906 442359 474030 489373 491510 737265 884718 978746 1468119 1474530 2211795 2446865 2936238 4404357 4423590 4893730 7340595 8808714 11255579 14681190 22021785 22511158 33766737 44043570 56277895 67533474 101300211 112555790 168833685 202600422 337667370 506501055 1013002110