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200400422312001 = 329193109726874049
BaseRepresentation
bin101101100100001101011011…
…111111000001100001000001
3222021120002111222212002201110
4231210031123333001201001
5202231330031102441001
61550114403313153533
760132311165646042
oct5544153377014101
9867502458762643
10200400422312001
1158943383a6aa2a
121a586b3bb5b8a9
1387a88a9251382
14376b609d188c9
151827d1caa73d6
hexb6435bfc1841

200400422312001 has 64 divisors (see below), whose sum is σ = 278272060416000. Its totient is φ = 128128671154176.

The previous prime is 200400422311997. The next prime is 200400422312009. The reversal of 200400422312001 is 100213224004002.

It is not a de Polignac number, because 200400422312001 - 22 = 200400422311997 is a prime.

It is a super-3 number, since 3×2004004223120013 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (200400422312009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49493804425 + ... + 49493808473.

It is an arithmetic number, because the mean of its divisors is an integer number (4348000944000).

Almost surely, 2200400422312001 is an apocalyptic number.

It is an amenable number.

200400422312001 is a deficient number, since it is larger than the sum of its proper divisors (77871638103999).

200400422312001 is a wasteful number, since it uses less digits than its factorization.

200400422312001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8058.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 200400422312001 its reverse (100213224004002), we get a palindrome (300613646316003).

The spelling of 200400422312001 in words is "two hundred trillion, four hundred billion, four hundred twenty-two million, three hundred twelve thousand, one".

Divisors: 1 3 29 87 193 579 1097 2687 3291 4049 5597 8061 12147 16791 31813 77923 95439 117421 211721 233769 352263 518591 635163 781457 1555773 2344371 2947639 4441753 6139909 8842917 10879663 13325259 15039139 18419727 22662253 32638989 45117417 67986759 85481531 128810837 256444593 315510227 386432511 568894327 857258329 946530681 1706682981 2099774959 2571774987 6299324877 11934990311 16497935483 24860491541 35804970933 49493806449 60893473811 74581474623 182680421433 346114719019 1038344157057 2303453130023 6910359390069 66800140770667 200400422312001