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13212103302112 = 2511132474725467
BaseRepresentation
bin1100000001000010111010…
…1110010101101111100000
31201210001202012021122222111
43000100232232111233200
53212431341421131422
644033320110245104
72532354144046441
oct300205656255740
951701665248874
1013212103302112
114234248969a10
1215947167b6794
1374ab8566a900
1433967d7352c8
1517da25484a77
hexc042eb95be0

13212103302112 has 144 divisors (see below), whose sum is σ = 31380434249472. Its totient is φ = 5425591042560.

The previous prime is 13212103302067. The next prime is 13212103302113. The reversal of 13212103302112 is 21120330121231.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212103302113) 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, 433203 + ... + 5158669.

It is an arithmetic number, because the mean of its divisors is an integer number (217919682288).

Almost surely, 213212103302112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13212103302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15690217124736).

13212103302112 is an abundant number, since it is smaller than the sum of its proper divisors (18168330947360).

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

13212103302112 is a wasteful number, since it uses less digits than its factorization.

13212103302112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4725561 (or 4725540 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 13212103302112 its reverse (21120330121231), we get a palindrome (34332433423343).

The spelling of 13212103302112 in words is "thirteen trillion, two hundred twelve billion, one hundred three million, three hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 47 52 88 94 104 143 169 176 188 208 286 338 352 376 416 517 572 611 676 752 1034 1144 1222 1352 1504 1859 2068 2288 2444 2704 3718 4136 4576 4888 5408 6721 7436 7943 8272 9776 13442 14872 15886 16544 19552 26884 29744 31772 53768 59488 63544 87373 107536 127088 174746 215072 254176 349492 698984 1397968 2795936 4725467 9450934 18901868 37803736 51980137 61431071 75607472 103960274 122862142 151214944 207920548 222096949 245724284 415841096 444193898 491448568 675741781 798603923 831682192 888387796 982897136 1351483562 1597207846 1663364384 1776775592 1965794272 2443066439 2702967124 2887260337 3194415692 3553551184 4886132878 5405934248 5774520674 6388831384 7107102368 8784643153 9772265756 10811868496 11549041348 12777662768 17569286306 19544531512 21623736992 23098082696 25555325536 31759863707 35138572612 37534384381 39089063024 46196165392 63519727414 70277145224 75068768762 78178126048 92392330784 127039454828 140554290448 150137537524 254078909656 281108580896 300275075048 412878228191 508157819312 600550150096 825756456382 1016315638624 1201100300192 1651512912764 3303025825528 6606051651056 13212103302112