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1213134031104 = 2834379464999
BaseRepresentation
bin10001101001110100011…
…011000100100100000000
311021222022101201000112220
4101221310123010210000
5124333444302443404
62325150040251040
7153434410060632
oct21516433044400
94258271630486
101213134031104
1142853a597056
12177144170a80
138a523686c48
1442a049c2a52
1521852cb54d9
hex11a746c4900

1213134031104 has 144 divisors (see below), whose sum is σ = 3345619200000. Its totient is φ = 389973362688.

The previous prime is 1213134031093. The next prime is 1213134031117. The reversal of 1213134031104 is 4011304313121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2376397 + ... + 2841395.

Almost surely, 21213134031104 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 1213134031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672809600000).

1213134031104 is an abundant number, since it is smaller than the sum of its proper divisors (2132485168896).

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

1213134031104 is an equidigital number, since it uses as much as digits as its factorization.

1213134031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465140 (or 465126 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1213134031104 its reverse (4011304313121), we get a palindrome (5224438344225).

The spelling of 1213134031104 in words is "one trillion, two hundred thirteen billion, one hundred thirty-four million, thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 79 86 96 128 129 158 172 192 237 256 258 316 344 384 474 516 632 688 768 948 1032 1264 1376 1896 2064 2528 2752 3397 3792 4128 5056 5504 6794 7584 8256 10112 10191 11008 13588 15168 16512 20224 20382 27176 30336 33024 40764 54352 60672 81528 108704 163056 217408 326112 434816 464999 652224 869632 929998 1304448 1394997 1859996 2608896 2789994 3719992 5579988 7439984 11159976 14879968 19994957 22319952 29759936 36734921 39989914 44639904 59519872 59984871 73469842 79979828 89279808 110204763 119039744 119969742 146939684 159959656 178559616 220409526 239939484 293879368 319919312 357119232 440819052 479878968 587758736 639838624 881638104 959757936 1175517472 1279677248 1579601603 1763276208 1919515872 2351034944 2559354496 3159203206 3526552416 3839031744 4702069888 4738804809 5118708992 6318406412 7053104832 7678063488 9404139776 9477609618 12636812824 14106209664 15356126976 18955219236 25273625648 28212419328 37910438472 50547251296 75820876944 101094502592 151641753888 202189005184 303283507776 404378010368 606567015552 1213134031104