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10000220201202 = 2371179909130139
BaseRepresentation
bin1001000110000101101110…
…0100101010000011110010
31022102000022112120122002110
42101201123210222003302
52302320422332414302
633134012052430150
72051330531126310
oct221413344520362
938360275518073
1010000220201202
113206084664490
121156139618356
1357702a9666aa
1426802848d0b0
151251de43cb6c
hex9185b92a0f2

10000220201202 has 128 divisors (see below), whose sum is σ = 25254870220800. Its totient is φ = 2564213371200.

The previous prime is 10000220201201. The next prime is 10000220201233. The reversal of 10000220201202 is 20210202200001.

It is not an unprimeable number, because it can be changed into a prime (10000220201201) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 331788249 + ... + 331818387.

It is an arithmetic number, because the mean of its divisors is an integer number (197303673600).

Almost surely, 210000220201202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000220201202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12627435110400).

10000220201202 is an abundant number, since it is smaller than the sum of its proper divisors (15254650019598).

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

10000220201202 is a wasteful number, since it uses less digits than its factorization.

10000220201202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39332.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10000220201202 its reverse (20210202200001), we get a palindrome (30210422401203).

The spelling of 10000220201202 in words is "ten trillion, two hundred twenty million, two hundred one thousand, two hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 79 154 158 231 237 462 474 553 869 1106 1659 1738 2607 3318 5214 6083 9091 12166 18182 18249 27273 30139 36498 54546 60278 63637 90417 100001 127274 180834 190911 200002 210973 300003 331529 381822 421946 600006 632919 663058 700007 718189 994587 1265838 1400014 1436378 1989174 2100021 2154567 2320703 2380981 4200042 4309134 4641406 4761962 5027323 6962109 7142943 7900079 10054646 13924218 14285886 15081969 15800158 16666867 23700237 26190791 30163938 33333734 47400474 50000601 52381582 55300553 78572373 100001202 110601106 157144746 165901659 183335537 273993649 331803318 366671074 547987298 550006611 821980947 1100013222 1643961894 1917955543 3013930139 3835911086 5753866629 6027860278 9041790417 11507733258 18083580834 21097510973 21645498271 42195021946 43290996542 63292532919 64936494813 126585065838 129872989626 151518487897 238100480981 303036975794 454555463691 476200961962 714301442943 909110927382 1428602885886 1666703366867 3333406733734 5000110100601 10000220201202