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1004010420200 = 235273532312919
BaseRepresentation
bin11101001110000111010…
…11110011011111101000
310112222112012201212202112
432213003223303133220
5112422203131421300
62045122551421452
7132352212522134
oct16470353633750
93488465655675
101004010420200
11357886786a57
12142701084888
13738a70c8148
1436846d103c4
151b1b3898e35
hexe9c3af37e8

1004010420200 has 96 divisors (see below), whose sum is σ = 2366929012800. Its totient is φ = 395997672960.

The previous prime is 1004010420163. The next prime is 1004010420227. The reversal of 1004010420200 is 20240104001.

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, 77709341 + ... + 77722259.

It is an arithmetic number, because the mean of its divisors is an integer number (24655510550).

Almost surely, 21004010420200 is an apocalyptic number.

1004010420200 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 1004010420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183464506400).

1004010420200 is an abundant number, since it is smaller than the sum of its proper divisors (1362918592600).

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

1004010420200 is a wasteful number, since it uses less digits than its factorization.

1004010420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18331 (or 18322 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1004010420200 its reverse (20240104001), we get a palindrome (1024250524201).

The spelling of 1004010420200 in words is "one trillion, four billion, ten million, four hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1460 1825 2920 3650 5323 7300 10646 12919 14600 21292 25838 26615 42584 51676 53230 64595 103352 106460 129190 133075 212920 258380 266150 322975 388579 516760 532300 645950 777158 943087 1064600 1291900 1554316 1886174 1942895 2583800 3108632 3772348 3885790 4715435 7544696 7771580 9430870 9714475 15543160 18861740 19428950 23577175 37723480 38857900 47154350 68767837 77715800 94308700 137535674 188617400 275071348 343839185 550142696 687678370 1375356740 1719195925 2750713480 3438391850 5020052101 6876783700 10040104202 13753567400 20080208404 25100260505 40160416808 50200521010 100401042020 125501302525 200802084040 251002605050 502005210100 1004010420200