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220201003313120 = 25529173274318571
BaseRepresentation
bin110010000100010110001010…
…100101001110011111100000
31001212200000021112021211120202
4302010112022211032133200
5212330233123322004440
62100154535554124332
764244666065323524
oct6204261245163740
91055600245254522
10220201003313120
11641877a2818585
122084451a5806a8
1395b3b336bbc8b
143c53add2d3d84
151a6ce004d2615
hexc8458a94e7e0

220201003313120 has 96 divisors (see below), whose sum is σ = 541274433527520. Its totient is φ = 84551566919680.

The previous prime is 220201003313119. The next prime is 220201003313131. The reversal of 220201003313120 is 21313300102022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 220201003313092 and 220201003313101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136356566 + ... + 137962005.

It is an arithmetic number, because the mean of its divisors is an integer number (5638275349245).

Almost surely, 2220201003313120 is an apocalyptic number.

220201003313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220201003313120 is an abundant number, since it is smaller than the sum of its proper divisors (321073430214400).

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

220201003313120 is a wasteful number, since it uses less digits than its factorization.

220201003313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274318788 (or 274318780 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 220201003313120 its reverse (21313300102022), we get a palindrome (241514303415142).

The spelling of 220201003313120 in words is "two hundred twenty trillion, two hundred one billion, three million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 173 232 290 346 464 580 692 865 928 1160 1384 1730 2320 2768 3460 4640 5017 5536 6920 10034 13840 20068 25085 27680 40136 50170 80272 100340 160544 200680 401360 802720 274318571 548637142 1097274284 1371592855 2194548568 2743185710 4389097136 5486371420 7955238559 8778194272 10972742840 15910477118 21945485680 31820954236 39776192795 43890971360 47457112783 63641908472 79552385590 94914225566 127283816944 159104771180 189828451132 237285563915 254567633888 318209542360 379656902264 474571127830 636419084720 759313804528 949142255660 1272838169440 1376256270707 1518627609056 1898284511320 2752512541414 3796569022640 5505025082828 6881281353535 7593138045280 11010050165656 13762562707070 22020100331312 27525125414140 44040200662624 55050250828280 110100501656560 220201003313120