Search a number
-
+
201012221101122 = 232174462931471909
BaseRepresentation
bin101101101101000111001110…
…000010001100010001000010
3222100201120200022012202010100
4231231013032002030101002
5202321341012100213442
61551303423424343230
760224440140601134
oct5555071602142102
9870646608182110
10201012221101122
1159059893485412
121a665622174b16
1388214a9453bb2
14378d0871a1054
151838bc869c84c
hexb6d1ce08c442

201012221101122 has 48 divisors (see below), whose sum is σ = 461147030281080. Its totient is φ = 63062473453056.

The previous prime is 201012221101099. The next prime is 201012221101147. The reversal of 201012221101122 is 221101122210102.

It can be written as a sum of positive squares in 4 ways, for example, as 191435975209521 + 9576245891601 = 13836039^2 + 3094551^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 201012221101095 and 201012221101104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135829704 + ... + 137301612.

Almost surely, 2201012221101122 is an apocalyptic number.

201012221101122 is an abundant number, since it is smaller than the sum of its proper divisors (260134809179958).

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

201012221101122 is a wasteful number, since it uses less digits than its factorization.

201012221101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918227 (or 1918224 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201012221101122 its reverse (221101122210102), we get a palindrome (422113343311224).

The spelling of 201012221101122 in words is "two hundred one trillion, twelve billion, two hundred twenty-one million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 446293 892586 1338879 1471909 2677758 2943818 4016637 4415727 7586981 8033274 8831454 13247181 15173962 22760943 25022453 26494362 45521886 50044906 68282829 75067359 136565658 150134718 225202077 450404154 656902683337 1313805366674 1970708050011 3941416100022 5912124150033 11167345616729 11824248300066 22334691233458 33502036850187 67004073700374 100506110550561 201012221101122