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13103412022140 = 22351122378472943
BaseRepresentation
bin1011111010101110000000…
…1110000000101101111100
31201101200012022110112222120
42332223200032000231330
53204141241434202030
643511342511042540
72521455523315326
oct276534016005574
951350168415876
1013103412022140
1141a2142532600
121577642210450
1374085333ca6b
143342cc2a2616
1517acb3201010
hexbeae0380b7c

13103412022140 has 144 divisors (see below), whose sum is σ = 42081587057664. Its totient is φ = 3038472314240.

The previous prime is 13103412022139. The next prime is 13103412022157. The reversal of 13103412022140 is 4122021430131.

13103412022140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13103412022140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39069492 + ... + 39403451.

It is an arithmetic number, because the mean of its divisors is an integer number (292233243456).

Almost surely, 213103412022140 is an apocalyptic number.

13103412022140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13103412022140 is an abundant number, since it is smaller than the sum of its proper divisors (28978175035524).

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

13103412022140 is a wasteful number, since it uses less digits than its factorization.

13103412022140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78473000 (or 78472987 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13103412022140 its reverse (4122021430131), we get a palindrome (17225433452271).

The spelling of 13103412022140 in words is "thirteen trillion, one hundred three billion, four hundred twelve million, twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 121 132 138 165 220 230 242 253 276 330 345 363 460 484 506 605 660 690 726 759 1012 1210 1265 1380 1452 1518 1815 2420 2530 2783 3036 3630 3795 5060 5566 7260 7590 8349 11132 13915 15180 16698 27830 33396 41745 55660 83490 166980 78472943 156945886 235418829 313891772 392364715 470837658 784729430 863202373 941675316 1177094145 1569458860 1726404746 1804877689 2354188290 2589607119 3452809492 3609755378 4316011865 4708376580 5179214238 5414633067 7219510756 8632023730 9024388445 9495226103 10358428476 10829266134 12948035595 17264047460 18048776890 18990452206 19853654579 21658532268 25896071190 27073165335 28485678309 36097553780 37980904412 39707309158 47476130515 51792142380 54146330670 56971356618 59560963737 79414618316 94952261030 99268272895 108292661340 113942713236 119121927474 142428391545 189904522060 198536545790 218390200369 238243854948 284856783090 297804818685 397073091580 436780400738 569713566180 595609637370 655170601107 873560801476 1091951001845 1191219274740 1310341202214 2183902003690 2620682404428 3275853005535 4367804007380 6551706011070 13103412022140