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1101121111220 = 2251310141931497
BaseRepresentation
bin10000000001011111111…
…011101100010010110100
310220021012000122010012112
4100001133323230102310
5121020044001024340
62201503102510152
7142360544005244
oct20013773542264
93807160563175
101101121111220
11394a8a185499
121594a3295358
137cab213b0b0
143b41a33db24
151d999107065
hex1005feec4b4

1101121111220 has 48 divisors (see below), whose sum is σ = 2514883524048. Its totient is φ = 402542361600.

The previous prime is 1101121111171. The next prime is 1101121111253. The reversal of 1101121111220 is 221111211011.

It can be written as a sum of positive squares in 8 ways, for example, as 95364851344 + 1005756259876 = 308812^2 + 1002874^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1101121111195 and 1101121111204.

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, 20939489 + ... + 20992008.

It is an arithmetic number, because the mean of its divisors is an integer number (52393406751).

Almost surely, 21101121111220 is an apocalyptic number.

1101121111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101121111220 is an abundant number, since it is smaller than the sum of its proper divisors (1413762412828).

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

1101121111220 is a wasteful number, since it uses less digits than its factorization.

1101121111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41931620 (or 41931618 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1101121111220 its reverse (221111211011), we get a palindrome (1322232322231).

The spelling of 1101121111220 in words is "one trillion, one hundred one billion, one hundred twenty-one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 1010 1313 2020 2626 5252 6565 13130 26260 41931497 83862994 167725988 209657485 419314970 545109461 838629940 1090218922 2180437844 2725547305 4235081197 5451094610 8470162394 10902189220 16940324788 21175405985 42350811970 55056055561 84701623940 110112111122 220224222244 275280277805 550560555610 1101121111220