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1001220111100 = 2252111078506543
BaseRepresentation
bin11101001000111010101…
…11100111101011111100
310112201022202021111021001
432210131113213223330
5112400444322023400
62043542033420044
7132223111345156
oct16443527475374
93481282244231
101001220111100
11356684718480
1214206270a624
1373550cb1b81
14366604cdad6
151b09d925a6a
hexe91d5e7afc

1001220111100 has 72 divisors (see below), whose sum is σ = 2392312382208. Its totient is φ = 360677380800.

The previous prime is 1001220111097. The next prime is 1001220111103. The reversal of 1001220111100 is 11110221001.

It is an interprime number because it is at equal distance from previous prime (1001220111097) and next prime (1001220111103).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001220111103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4135572 + ... + 4370971.

It is an arithmetic number, because the mean of its divisors is an integer number (33226560864).

Almost surely, 21001220111100 is an apocalyptic number.

1001220111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001220111100 is an abundant number, since it is smaller than the sum of its proper divisors (1391092271108).

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

1001220111100 is a wasteful number, since it uses less digits than its factorization.

1001220111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8506675 (or 8506668 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1001220111100 its reverse (11110221001), we get a palindrome (1012330332101).

The spelling of 1001220111100 in words is "one trillion, one billion, two hundred twenty million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 107 110 214 220 275 428 535 550 1070 1100 1177 2140 2354 2675 4708 5350 5885 10700 11770 23540 29425 58850 117700 8506543 17013086 34026172 42532715 85065430 93571973 170130860 187143946 212663575 374287892 425327150 467859865 850654300 910200101 935719730 1820400202 1871439460 2339299325 3640800404 4551000505 4678598650 9102001010 9357197300 10012201111 18204002020 20024402222 22755002525 40048804444 45510005050 50061005555 91020010100 100122011110 200244022220 250305027775 500610055550 1001220111100