Search a number
-
+
22101012100020 = 22357263200081587
BaseRepresentation
bin1010000011001110010101…
…11110011011001110110100
32220020211120112101201002110
411001213022332123032310
510344100333044200040
6115001021555011020
74440513453143250
oct501471276331664
986224515351073
1022101012100020
117050a94181717
12258b3a8299a70
13c44168c40399
145659a2349260
15284d70d6e980
hex1419caf9b3b4

22101012100020 has 96 divisors (see below), whose sum is σ = 70992148727808. Its totient is φ = 5032452051072.

The previous prime is 22101012099997. The next prime is 22101012100093. The reversal of 22101012100020 is 2000121010122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22101012099969 and 22101012100005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99930334 + ... + 100151253.

It is an arithmetic number, because the mean of its divisors is an integer number (739501549248).

Almost surely, 222101012100020 is an apocalyptic number.

22101012100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101012100020 is an abundant number, since it is smaller than the sum of its proper divisors (48891136627788).

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

22101012100020 is a wasteful number, since it uses less digits than its factorization.

22101012100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200081869 (or 200081867 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22101012100020 its reverse (2000121010122), we get a palindrome (24101133110142).

The spelling of 22101012100020 in words is "twenty-two trillion, one hundred one billion, twelve million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 263 420 526 789 1052 1315 1578 1841 2630 3156 3682 3945 5260 5523 7364 7890 9205 11046 15780 18410 22092 27615 36820 55230 110460 200081587 400163174 600244761 800326348 1000407935 1200489522 1400571109 2000815870 2400979044 2801142218 3001223805 4001631740 4201713327 5602284436 6002447610 7002855545 8403426654 12004895220 14005711090 16806853308 21008566635 28011422180 42017133270 52621457381 84034266540 105242914762 157864372143 210485829524 263107286905 315728744286 368350201667 526214573810 631457488572 736700403334 789321860715 1052429147620 1105050605001 1473400806668 1578643721430 1841751008335 2210101210002 3157287442860 3683502016670 4420202420004 5525253025005 7367004033340 11050506050010 22101012100020