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1130300011302 = 2371161137292753
BaseRepresentation
bin10000011100101011001…
…000010111001100100110
311000001111112212211020120
4100130223020113030212
5122004323300330202
62223130323542410
7144442613400630
oct20345310271446
94001445784216
101130300011302
113a63a2986a50
1216308722aa06
1382782373347
143c9c76c9a50
151e605adc0bc
hex1072b217326

1130300011302 has 128 divisors (see below), whose sum is σ = 2885533314048. Its totient is φ = 286662758400.

The previous prime is 1130300011277. The next prime is 1130300011307. The reversal of 1130300011302 is 2031100030311.

It is a super-3 number, since 3×11303000113023 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130300011307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3714558 + ... + 4007310.

It is an arithmetic number, because the mean of its divisors is an integer number (22543229016).

Almost surely, 21130300011302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130300011302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442766657024).

1130300011302 is an abundant number, since it is smaller than the sum of its proper divisors (1755233302746).

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

1130300011302 is a wasteful number, since it uses less digits than its factorization.

1130300011302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292974.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1130300011302 its reverse (2031100030311), we get a palindrome (3161400041613).

The spelling of 1130300011302 in words is "one trillion, one hundred thirty billion, three hundred million, eleven thousand, three hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 61 66 77 122 137 154 183 231 274 366 411 427 462 671 822 854 959 1281 1342 1507 1918 2013 2562 2877 3014 4026 4521 4697 5754 8357 9042 9394 10549 14091 16714 21098 25071 28182 31647 50142 58499 63294 91927 116998 175497 183854 275781 292753 350994 551562 585506 643489 878259 1286978 1756518 1930467 2049271 3220283 3860934 4098542 6147813 6440566 9660849 12295626 17857933 19321698 22541981 35715866 40107161 45083962 53573799 67625943 80214322 107147598 120321483 125005531 135251886 196437263 240642966 250011062 280750127 375016593 392874526 441178771 561500254 589311789 750033186 842250381 882357542 1178623578 1323536313 1375060841 1684500762 2446536821 2647072626 2750121682 3088251397 4125182523 4893073642 6176502794 7339610463 8250365046 9264754191 14679220926 17125757747 18529508382 26911905031 34251515494 51377273241 53823810062 80735715093 102754546482 161471430186 188383335217 376766670434 565150005651 1130300011302