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13351030900 = 22524130710607
BaseRepresentation
bin11000110111100100…
…01001000001110100
31021110110022122022221
430123302021001310
5204320330442100
610044450532124
7651564614224
oct143362110164
937413278287
1013351030900
115731344139
122707297044
13134a0291ac
14909224084
1553219101a
hex31bc89074

13351030900 has 72 divisors (see below), whose sum is σ = 29777844096. Its totient is φ = 5192697600.

The previous prime is 13351030883. The next prime is 13351030909. The reversal of 13351030900 is 903015331.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13351030909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1253397 + ... + 1264003.

It is an arithmetic number, because the mean of its divisors is an integer number (413581168).

Almost surely, 213351030900 is an apocalyptic number.

13351030900 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 13351030900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14888922048).

13351030900 is an abundant number, since it is smaller than the sum of its proper divisors (16426813196).

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

13351030900 is a wasteful number, since it uses less digits than its factorization.

13351030900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10969 (or 10962 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 25.

The spelling of 13351030900 in words is "thirteen billion, three hundred fifty-one million, thirty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 307 410 614 820 1025 1228 1535 2050 3070 4100 6140 7675 10607 12587 15350 21214 25174 30700 42428 50348 53035 62935 106070 125870 212140 251740 265175 314675 434887 530350 629350 869774 1060700 1258700 1739548 2174435 3256349 4348870 6512698 8697740 10872175 13025396 16281745 21744350 32563490 43488700 65126980 81408725 133510309 162817450 267020618 325634900 534041236 667551545 1335103090 2670206180 3337757725 6675515450 13351030900