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13390554100 = 22527116412713
BaseRepresentation
bin11000111100010001…
…11010001111110100
31021120012200121222011
430132020322033310
5204410440212400
610052422014004
7652554555220
oct143610721764
937505617864
1013390554100
115751689540
122718577304
1313552869c1
14910591780
1553589b8ba
hex31e23a3f4

13390554100 has 144 divisors (see below), whose sum is σ = 36297426816. Its totient is φ = 4165632000.

The previous prime is 13390554077. The next prime is 13390554109. The reversal of 13390554100 is 145509331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13390554109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4934344 + ... + 4937056.

It is an arithmetic number, because the mean of its divisors is an integer number (252065464).

Almost surely, 213390554100 is an apocalyptic number.

13390554100 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 13390554100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18148713408).

13390554100 is an abundant number, since it is smaller than the sum of its proper divisors (22906872716).

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

13390554100 is a wasteful number, since it uses less digits than its factorization.

13390554100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3386 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The spelling of 13390554100 in words is "thirteen billion, three hundred ninety million, five hundred fifty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 641 700 770 1100 1282 1540 1925 2564 2713 3205 3850 4487 5426 6410 7051 7700 8974 10852 12820 13565 14102 16025 17948 18991 22435 27130 28204 29843 32050 35255 37982 44870 49357 54260 59686 64100 67825 70510 75964 89740 94955 98714 112175 119372 135650 141020 149215 176275 189910 197428 208901 224350 246785 271300 298430 352550 379820 417802 448700 474775 493570 596860 705100 746075 835604 949550 987140 1044505 1233925 1492150 1739033 1899100 2089010 2467850 2984300 3478066 4178020 4935700 5222525 6956132 8695165 10445050 12173231 17390330 19129363 20890100 24346462 34780660 38258726 43475825 48692924 60866155 76517452 86951650 95646815 121732310 133905541 173903300 191293630 243464620 267811082 304330775 382587260 478234075 535622164 608661550 669527705 956468150 1217323100 1339055410 1912936300 2678110820 3347638525 6695277050 13390554100