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12000103310 = 25131743197641
BaseRepresentation
bin10110010110100001…
…10000101110001110
31010222022022102001202
423023100300232032
5144034011301220
65302431505502
7603242123636
oct131320605616
933868272052
1012000103310
1150a8822258
1223aa988292
13119319c860
1481ba476c6
154a3791275
hex2cb430b8e

12000103310 has 128 divisors (see below), whose sum is σ = 25370319744. Its totient is φ = 4046192640.

The previous prime is 12000103289. The next prime is 12000103337. The reversal of 12000103310 is 1330100021.

It is a super-2 number, since 2×120001033102 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12000103291 and 12000103300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18720590 + ... + 18721230.

It is an arithmetic number, because the mean of its divisors is an integer number (198205623).

Almost surely, 212000103310 is an apocalyptic number.

12000103310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12000103310 is an abundant number, since it is smaller than the sum of its proper divisors (13370216434).

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

12000103310 is a wasteful number, since it uses less digits than its factorization.

12000103310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 12000103310 its reverse (1330100021), we get a palindrome (13330203331).

The spelling of 12000103310 in words is "twelve billion, one hundred three thousand, three hundred ten".

Divisors: 1 2 5 10 13 17 26 34 43 65 85 86 130 170 197 215 221 394 430 442 559 641 731 985 1105 1118 1282 1462 1970 2210 2561 2795 3205 3349 3655 5122 5590 6410 6698 7310 8333 8471 9503 10897 12805 16666 16745 16942 19006 21794 25610 27563 33490 41665 42355 43537 47515 54485 55126 83330 84710 87074 95030 108970 110123 126277 137815 141661 144007 217685 220246 252554 275630 283322 288014 358319 435370 468571 550615 631385 708305 716638 720035 937142 1101230 1262770 1416610 1440070 1641601 1791595 1872091 2146709 2342855 3283202 3583190 3744182 4293418 4685710 5429911 6091423 8208005 9360455 10733545 10859822 12182846 16416010 18720910 21467090 27149555 27907217 30457115 54299110 55814434 60914230 70588843 92308487 139536085 141177686 184616974 279072170 352944215 461542435 705888430 923084870 1200010331 2400020662 6000051655 12000103310