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201044022210 = 232529313246097
BaseRepresentation
bin1011101100111100101…
…0000101001111000010
3201012221002210111201200
42323033022011033002
511243214232202320
6232205223042030
720345025664353
oct2731712051702
9635832714650
10201044022210
1178298122579
1232b692a0316
1315c5c7008b5
149a32a0bd2a
155369e4e290
hex2ecf2853c2

201044022210 has 96 divisors (see below), whose sum is σ = 542468899440. Its totient is φ = 51597471744.

The previous prime is 201044022197. The next prime is 201044022241. The reversal of 201044022210 is 12220440102.

201044022210 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 440 + 2 + 221 + 0 = 666.

201044022210 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 93106147689 + 107937874521 = 305133^2 + 328539^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 693882 + ... + 939978.

Almost surely, 2201044022210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201044022210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271234449720).

201044022210 is an abundant number, since it is smaller than the sum of its proper divisors (341424877230).

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

201044022210 is a wasteful number, since it uses less digits than its factorization.

201044022210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246452 (or 246449 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 201044022210 its reverse (12220440102), we get a palindrome (213264462312).

The spelling of 201044022210 in words is "two hundred one billion, forty-four million, twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 313 435 522 626 870 939 1305 1565 1878 2610 2817 3130 4695 5634 9077 9390 14085 18154 27231 28170 45385 54462 81693 90770 136155 163386 246097 272310 408465 492194 738291 816930 1230485 1476582 2214873 2460970 3691455 4429746 7136813 7382910 11074365 14273626 21410439 22148730 35684065 42820878 64231317 71368130 77028361 107052195 128462634 154056722 214104390 231085083 321156585 385141805 462170166 642313170 693255249 770283610 1155425415 1386510498 2233822469 2310850830 3466276245 4467644938 6701467407 6932552490 11169112345 13402934814 20104402221 22338224690 33507337035 40208804442 67014674070 100522011105 201044022210