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13203213012 = 223211198919717
BaseRepresentation
bin11000100101111100…
…10000101011010100
31021002011011201022100
430102332100223110
5204020010304022
610022050402100
7645121313253
oct142276205324
937064151270
1013203213012
1156659623a0
122685890330
1313255125a2
148d374679a
155241e31ac
hex312f90ad4

13203213012 has 144 divisors (see below), whose sum is σ = 38757700800. Its totient is φ = 3747617280.

The previous prime is 13203213011. The next prime is 13203213059. The reversal of 13203213012 is 21031230231.

It is a super-2 number, since 2×132032130122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13203213011) 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, 659778 + ... + 679494.

It is an arithmetic number, because the mean of its divisors is an integer number (269150700).

Almost surely, 213203213012 is an apocalyptic number.

13203213012 is a gapful number since it is divisible by the number (12) 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 13203213012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19378850400).

13203213012 is an abundant number, since it is smaller than the sum of its proper divisors (25554487788).

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

13203213012 is a wasteful number, since it uses less digits than its factorization.

13203213012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19846 (or 19841 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13203213012 its reverse (21031230231), we get a palindrome (34234443243).

The spelling of 13203213012 in words is "thirteen billion, two hundred three million, two hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 89 99 114 132 171 178 198 209 228 267 342 356 396 418 534 627 684 801 836 979 1068 1254 1602 1691 1881 1958 2508 2937 3204 3382 3762 3916 5073 5874 6764 7524 8811 10146 11748 15219 17622 18601 19717 20292 30438 35244 37202 39434 55803 59151 60876 74404 78868 111606 118302 167409 177453 216887 223212 236604 334818 354906 374623 433774 650661 669636 709812 749246 867548 1123869 1301322 1498492 1754813 1951983 2247738 2602644 3371607 3509626 3903966 4120853 4495476 5264439 6743214 7019252 7807932 8241706 10528878 12362559 13486428 15793317 16483412 19302943 21057756 24725118 31586634 33341447 37087677 38605886 49450236 57908829 63173268 66682894 74175354 77211772 100024341 115817658 133365788 148350708 173726487 200048682 231635316 300073023 347452974 366755917 400097364 600146046 694905948 733511834 1100267751 1200292092 1467023668 2200535502 3300803253 4401071004 6601606506 13203213012