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1101020111112 = 2332921131124107
BaseRepresentation
bin10000000001011001111…
…010011010000100001000
310220020220222120210002210
4100001121322122010020
5121014342122023422
62201445054025120
7142355206346265
oct20013172320410
93806828523083
101101020111112
11394a38170629
121594754a81a0
137ca9723730c
143b40ab6c26c
151d99030610c
hex10059e9a108

1101020111112 has 128 divisors (see below), whose sum is σ = 2870279193600. Its totient is φ = 351523334400.

The previous prime is 1101020111101. The next prime is 1101020111153. The reversal of 1101020111112 is 2111110201011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45660163 + ... + 45684269.

It is an arithmetic number, because the mean of its divisors is an integer number (22424056200).

Almost surely, 21101020111112 is an apocalyptic number.

1101020111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101020111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435139596800).

1101020111112 is an abundant number, since it is smaller than the sum of its proper divisors (1769259082488).

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

1101020111112 is a wasteful number, since it uses less digits than its factorization.

1101020111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24667 (or 24663 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1101020111112 its reverse (2111110201011), we get a palindrome (3212130312123).

The spelling of 1101020111112 in words is "one trillion, one hundred one billion, twenty million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 211 232 311 348 422 622 633 696 844 933 1244 1266 1688 1866 2488 2532 3732 5064 6119 7464 9019 12238 18038 18357 24107 24476 27057 36076 36714 48214 48952 54114 65621 72152 72321 73428 96428 108228 131242 144642 146856 192856 196863 216456 262484 289284 393726 524968 578568 699103 787452 1398206 1574904 1903009 2097309 2796412 3806018 4194618 5086577 5592824 5709027 7497277 7612036 8389236 10173154 11418054 14994554 15224072 15259731 16778472 20346308 22491831 22836108 29989108 30519462 40692616 44983662 45672216 59978216 61038924 89967324 122077848 147510733 179934648 217421033 295021466 434842066 442532199 590042932 652263099 869684132 885064398 1180085864 1304526198 1581925447 1739368264 1770128796 2609052396 3163850894 3540257592 4745776341 5218104792 6327701788 9491552682 12655403576 18983105364 37966210728 45875837963 91751675926 137627513889 183503351852 275255027778 367006703704 550510055556 1101020111112