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100220020111220 = 22517417189384513
BaseRepresentation
bin10110110010011001001010…
…101100101011011101110100
3111010211221101111222020102212
4112302121022230223131310
5101114001100122024340
6553052235221152552
730052441345214402
oct2662311254533564
9433757344866385
10100220020111220
1129a2a087693239
12b2a7389b5b758
1343bc927061979
141aa6963b32472
15b8be45633a65
hex5b264ab2b774

100220020111220 has 48 divisors (see below), whose sum is σ = 228277337088528. Its totient is φ = 36809648701440.

The previous prime is 100220020111193. The next prime is 100220020111231. The reversal of 100220020111220 is 22111020022001.

It can be written as a sum of positive squares in 8 ways, for example, as 30795329817316 + 69424690293904 = 5549354^2 + 8332148^2 .

It is a super-2 number, since 2×1002200201112202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100220020111195 and 100220020111204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3594678317 + ... + 3594706196.

It is an arithmetic number, because the mean of its divisors is an integer number (4755777856011).

Almost surely, 2100220020111220 is an apocalyptic number.

100220020111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220020111220 is an abundant number, since it is smaller than the sum of its proper divisors (128057316977308).

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

100220020111220 is a wasteful number, since it uses less digits than its factorization.

100220020111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7189384580 (or 7189384578 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100220020111220 its reverse (22111020022001), we get a palindrome (122331040133221).

The spelling of 100220020111220 in words is "one hundred trillion, two hundred twenty billion, twenty million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 820 1394 2788 3485 6970 13940 7189384513 14378769026 28757538052 35946922565 71893845130 122219536721 143787690260 244439073442 294764765033 488878146884 589529530066 611097683605 1179059060132 1222195367210 1473823825165 2444390734420 2947647650330 5011001005561 5895295300660 10022002011122 20044004022244 25055005027805 50110010055610 100220020111220