Search a number
-
+
100210210200022 = 21379311246763589
BaseRepresentation
bin10110110010010000000001…
…111110110101100111010110
3111010211000001211220010010111
4112302100001332311213112
5101113321002302400042
6553043533544513234
730051643266310246
oct2662200176654726
9433730054803114
10100210210200022
1129a25a0320180a
12b2a54b077b81a
1343bba2286b4a0
141aa62b2d31b26
15b8ba6e2c3517
hex5b2401fb59d6

100210210200022 has 64 divisors (see below), whose sum is σ = 164523466598400. Its totient is φ = 45499411601280.

The previous prime is 100210210200011. The next prime is 100210210200029. The reversal of 100210210200022 is 220002012012001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100210210199975 and 100210210200011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210210200029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1575873004 + ... + 1575936592.

It is an arithmetic number, because the mean of its divisors is an integer number (2570679165600).

Almost surely, 2100210210200022 is an apocalyptic number.

100210210200022 is a deficient number, since it is larger than the sum of its proper divisors (64313256398378).

100210210200022 is a wasteful number, since it uses less digits than its factorization.

100210210200022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66461.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100210210200022 its reverse (220002012012001), we get a palindrome (320212222212023).

The spelling of 100210210200022 in words is "one hundred trillion, two hundred ten billion, two hundred ten million, two hundred thousand, twenty-two".

Divisors: 1 2 13 26 79 158 311 622 1027 2054 2467 4043 4934 8086 24569 32071 49138 63589 64142 127178 194893 319397 389786 638794 767237 826657 1534474 1653314 2533609 5023531 5067218 9974081 10047062 19776179 19948162 39552358 60611723 65305903 121223446 130611806 156874063 257090327 313748126 514180654 787952399 1562318141 1575904798 2039362819 3124636282 4078725638 12393050977 20310135833 24786101954 40620271666 48787833593 97575667186 161109662701 322219325402 634241836709 1268483673418 3854238853847 7708477707694 50105105100011 100210210200022