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1300403124 = 2232536111173
BaseRepresentation
bin100110110000010…
…1001001110110100
310100121221022201200
41031200221032310
510130400344444
6333012052500
744140146516
oct11540511664
93317838650
101300403124
11608053129
12303604130
13179549607
14c49c7bb6
157926e969
hex4d8293b4

1300403124 has 72 divisors (see below), whose sum is σ = 3404360232. Its totient is φ = 418279680.

The previous prime is 1300403099. The next prime is 1300403161. The reversal of 1300403124 is 4213040031.

It can be written as a sum of positive squares in 4 ways, for example, as 45968400 + 1254434724 = 6780^2 + 35418^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1300403097 and 1300403106.

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, 110802 + ... + 121974.

It is an arithmetic number, because the mean of its divisors is an integer number (47282781).

Almost surely, 21300403124 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 1300403124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702180116).

1300403124 is an abundant number, since it is smaller than the sum of its proper divisors (2103957108).

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

1300403124 is a wasteful number, since it uses less digits than its factorization.

1300403124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11297 (or 11292 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1300403124 is about 36061.1026453712. The cubic root of 1300403124 is about 1091.5056833676.

Adding to 1300403124 its reverse (4213040031), we get a palindrome (5513443155).

The spelling of 1300403124 in words is "one billion, three hundred million, four hundred three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 61 106 122 159 183 212 244 318 366 477 549 636 732 954 1098 1908 2196 3233 6466 9699 11173 12932 19398 22346 29097 33519 38796 44692 58194 67038 100557 116388 134076 201114 402228 592169 681553 1184338 1363106 1776507 2044659 2368676 2726212 3553014 4089318 5329521 6133977 7106028 8178636 10659042 12267954 21318084 24535908 36122309 72244618 108366927 144489236 216733854 325100781 433467708 650201562 1300403124