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1121121300104 = 23131929122915919
BaseRepresentation
bin10000010100001000000…
…010010110111010001000
310222011210212111222112222
4100110020002112322020
5121332024023100404
62215011440153212
7143666300546651
oct20241002267210
93864725458488
101121121300104
113a2512823413
12161345308808
138194b8809a0
143c396674528
151e269daddbe
hex10508096e88

1121121300104 has 128 divisors (see below), whose sum is σ = 2467281600000. Its totient is φ = 472888378368.

The previous prime is 1121121300083. The next prime is 1121121300109. The reversal of 1121121300104 is 4010031211211.

It is not an unprimeable number, because it can be changed into a prime (1121121300109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70418657 + ... + 70434575.

It is an arithmetic number, because the mean of its divisors is an integer number (19275637500).

Almost surely, 21121121300104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121121300104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233640800000).

1121121300104 is an abundant number, since it is smaller than the sum of its proper divisors (1346160299896).

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

1121121300104 is a wasteful number, since it uses less digits than its factorization.

1121121300104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17215 (or 17211 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1121121300104 its reverse (4010031211211), we get a palindrome (5131152511315).

The spelling of 1121121300104 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-one million, three hundred thousand, one hundred four".

Divisors: 1 2 4 8 13 19 26 29 38 52 58 76 104 116 152 232 247 377 494 551 754 988 1102 1229 1508 1976 2204 2458 3016 4408 4916 7163 9832 14326 15919 15977 23351 28652 31838 31954 35641 46702 57304 63676 63908 71282 93404 127352 127816 142564 186808 206947 285128 302461 303563 413894 461651 463333 604922 607126 677179 827788 923302 926666 1209844 1214252 1354358 1655576 1846604 1853332 2419688 2428504 2708716 3693208 3706664 3931993 5417432 6001463 7863986 8771369 8803327 12002926 15727972 17542738 17606654 19564451 24005852 31455944 35085476 35213308 39128902 48011704 70170952 70426616 78257804 114027797 156515608 228055594 254337863 371724569 456111188 508675726 567369079 743449138 912222376 1017351452 1134738158 1486898276 2034702904 2269476316 2973796552 4538952632 4832419397 7375798027 9664838794 10780012501 14751596054 19329677588 21560025002 29503192108 38659355176 43120050004 59006384216 86240100008 140140162513 280280325026 560560650052 1121121300104