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200211001101072 = 24321328226947777
BaseRepresentation
bin101101100001011101000001…
…100110011100101100010000
3222020212222120220102120200200
4231201131001212130230100
5202220224112240213242
61545451355243215200
760112524151141503
oct5541350146345420
9866788526376620
10200211001101072
11588800106a4615
121a556297217500
138793a7c7cc900
14376239abc113a
151822e3321e04c
hexb6174199cb10

200211001101072 has 90 divisors (see below), whose sum is σ = 606729171679722. Its totient is φ = 61603384946688.

The previous prime is 200211001101071. The next prime is 200211001101101. The reversal of 200211001101072 is 270101100112002.

It can be written as a sum of positive squares in 3 ways, for example, as 511030538496 + 199699970562576 = 714864^2 + 14131524^2 .

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

It is not an unprimeable number, because it can be changed into a prime (200211001101071) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4113449553 + ... + 4113498224.

Almost surely, 2200211001101072 is an apocalyptic number.

It is an amenable number.

200211001101072 is an abundant number, since it is smaller than the sum of its proper divisors (406518170578650).

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

200211001101072 is a wasteful number, since it uses less digits than its factorization.

200211001101072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8226947817 (or 8226947795 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

Adding to 200211001101072 its reverse (270101100112002), we get a palindrome (470312101213074).

The spelling of 200211001101072 in words is "two hundred trillion, two hundred eleven billion, one million, one hundred one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 6084 8112 12168 24336 8226947777 16453895554 24680843331 32907791108 49361686662 65815582216 74042529993 98723373324 106950321101 131631164432 148085059986 197446746648 213900642202 296170119972 320850963303 394893493296 427801284404 592340239944 641701926606 855602568808 962552889909 1184680479888 1283403853212 1390354174313 1711205137616 1925105779818 2566807706424 2780708348626 3850211559636 4171062522939 5133615412848 5561416697252 7700423119272 8342125045878 11122833394504 12513187568817 15400846238544 16684250091756 22245666789008 25026375137634 33368500183512 50052750275268 66737000367024 100105500550536 200211001101072