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1101020111232 = 27317479352111
BaseRepresentation
bin10000000001011001111…
…010011010000110000000
310220020220222120210021020
4100001121322122012000
5121014342122024412
62201445054025440
7142355206346526
oct20013172320600
93806828523236
101101020111232
11394a38170728
121594754a8280
137ca972373a2
143b40ab6c316
151d99030618c
hex10059e9a180

1101020111232 has 128 divisors (see below), whose sum is σ = 3103092633600. Its totient is φ = 344695971840.

The previous prime is 1101020111209. The next prime is 1101020111297. The reversal of 1101020111232 is 2321110201011.

It is a tau number, because it is divible by the number of its divisors (128).

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, 2950857 + ... + 3302967.

It is an arithmetic number, because the mean of its divisors is an integer number (24242911200).

Almost surely, 21101020111232 is an apocalyptic number.

1101020111232 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 1101020111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551546316800).

1101020111232 is an abundant number, since it is smaller than the sum of its proper divisors (2002072522368).

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

1101020111232 is a wasteful number, since it uses less digits than its factorization.

1101020111232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352624 (or 352612 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1101020111232 its reverse (2321110201011), we get a palindrome (3422130312243).

The spelling of 1101020111232 in words is "one trillion, one hundred one billion, twenty million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 479 544 816 958 1088 1437 1632 1916 2176 2874 3264 3832 5748 6528 7664 8143 11496 15328 16286 22992 24429 30656 32572 45984 48858 61312 65144 91968 97716 130288 183936 195432 260576 352111 390864 521152 704222 781728 1042304 1056333 1408444 1563456 2112666 2816888 3126912 4225332 5633776 5985887 8450664 11267552 11971774 16901328 17957661 22535104 23943548 33802656 35915322 45070208 47887096 67605312 71830644 95774192 135210624 143661288 168661169 191548384 287322576 337322338 383096768 505983507 574645152 674644676 766193536 1011967014 1149290304 1349289352 2023934028 2298580608 2698578704 2867239873 4047868056 5397157408 5734479746 8095736112 8601719619 10794314816 11468959492 16191472224 17203439238 21588629632 22937918984 32382944448 34406878476 45875837968 64765888896 68813756952 91751675936 137627513904 183503351872 275255027808 367006703744 550510055616 1101020111232