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100111101222220 = 225114776961125803
BaseRepresentation
bin10110110000110011101110…
…101000000101110101001100
3111010110112020202212101112221
4112300303232220011311030
5101110210013403102340
6552530223251305124
730041534262016144
oct2660635650056514
9433415222771487
10100111101222220
11299979748268a0
12b28a2512ab1a4
1343b2589830c1a
141aa1590371924
15b891bd3e044a
hex5b0ceea05d4c

100111101222220 has 96 divisors (see below), whose sum is σ = 234230027222016. Its totient is φ = 35628736665600.

The previous prime is 100111101222127. The next prime is 100111101222239. The reversal of 100111101222220 is 22222101111001.

It is a junction number, because it is equal to n+sod(n) for n = 100111101222194 and 100111101222203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 795713839 + ... + 795839641.

It is an arithmetic number, because the mean of its divisors is an integer number (2439896116896).

Almost surely, 2100111101222220 is an apocalyptic number.

100111101222220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111101222220 is an abundant number, since it is smaller than the sum of its proper divisors (134118925999796).

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

100111101222220 is a wasteful number, since it uses less digits than its factorization.

100111101222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202831 (or 202829 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100111101222220 its reverse (22222101111001), we get a palindrome (122333202333221).

The spelling of 100111101222220 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2068 2585 5170 10340 76961 125803 153922 251606 307844 384805 503212 629015 769610 846571 1258030 1383833 1539220 1693142 2516060 2767666 3386284 3617167 4232855 5535332 5912741 6919165 7234334 8465710 11825482 13838330 14468668 16931420 18085835 23650964 27676660 29563705 36171670 39788837 59127410 65040151 72343340 79577674 118254820 130080302 159155348 198944185 260160604 325200755 397888370 650401510 795776740 1300803020 9681924683 19363849366 38727698732 48409623415 96819246830 106501171513 193638493660 213002343026 426004686052 455050460101 532505857565 910100920202 1065011715130 1820201840404 2130023430260 2275252300505 4550504601010 5005555061111 9101009202020 10011110122222 20022220244444 25027775305555 50055550611110 100111101222220