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1001112011220 = 223523789701383
BaseRepresentation
bin11101001000101101110…
…11010000000111010100
310112201001012212110002210
432210112323100013110
5112400234133324340
62043523212433420
7132220326456156
oct16442673200724
93481035773083
101001112011220
113566296a4432
12142032478870
1373534793649
143664ddd0ad6
151b0941c1180
hexe916ed01d4

1001112011220 has 48 divisors (see below), whose sum is σ = 2803235460480. Its totient is φ = 266951600256.

The previous prime is 1001112011201. The next prime is 1001112011227. The reversal of 1001112011220 is 221102111001.

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 = 1001112011196 and 1001112011205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001112011227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1076649 + ... + 1778031.

It is an arithmetic number, because the mean of its divisors is an integer number (58400738760).

Almost surely, 21001112011220 is an apocalyptic number.

1001112011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001112011220 is an abundant number, since it is smaller than the sum of its proper divisors (1802123449260).

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

1001112011220 is a wasteful number, since it uses less digits than its factorization.

1001112011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725184 (or 725182 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1001112011220 its reverse (221102111001), we get a palindrome (1222214122221).

The spelling of 1001112011220 in words is "one trillion, one billion, one hundred twelve million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 23789 47578 71367 95156 118945 142734 237890 285468 356835 475780 701383 713670 1402766 1427340 2104149 2805532 3506915 4208298 7013830 8416596 10520745 14027660 21041490 42082980 16685200187 33370400374 50055600561 66740800748 83426000935 100111201122 166852001870 200222402244 250278002805 333704003740 500556005610 1001112011220