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10003344420 = 2235376916521
BaseRepresentation
bin10010101000011111…
…01110110000100100
3221211011001112210210
421110033232300210
5130441324010140
64332342215420
7502615011306
oct112417566044
927734045723
1010003344420
1142736997a3
121b32124570
13c355bb814
146ac793976
153d831dd80
hex2543eec24

10003344420 has 96 divisors (see below), whose sum is σ = 28812422016. Its totient is φ = 2591308800.

The previous prime is 10003344401. The next prime is 10003344469. The reversal of 10003344420 is 2444330001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1530760 + ... + 1537280.

It is an arithmetic number, because the mean of its divisors is an integer number (300129396).

Almost surely, 210003344420 is an apocalyptic number.

10003344420 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 10003344420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14406211008).

10003344420 is an abundant number, since it is smaller than the sum of its proper divisors (18809077596).

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

10003344420 is a wasteful number, since it uses less digits than its factorization.

10003344420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7261 (or 7259 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 10003344420 its reverse (2444330001), we get a palindrome (12447674421).

It can be divided in two parts, 100033 and 44420, that added together give a triangular number (144453 = T537).

The spelling of 10003344420 in words is "ten billion, three million, three hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 691 740 1110 1382 2073 2220 2764 3455 4146 6521 6910 8292 10365 13042 13820 19563 20730 25567 26084 32605 39126 41460 51134 65210 76701 78252 97815 102268 127835 130420 153402 195630 241277 255670 306804 383505 391260 482554 511340 723831 767010 965108 1206385 1447662 1534020 2412770 2895324 3619155 4506011 4825540 7238310 9012022 13518033 14476620 18024044 22530055 27036066 45060110 54072132 67590165 90120220 135180330 166722407 270360660 333444814 500167221 666889628 833612035 1000334442 1667224070 2000668884 2500836105 3334448140 5001672210 10003344420