Search a number
-
+
1020111311380 = 2257193319115547
BaseRepresentation
bin11101101100000110101…
…11110101001000010100
310121112002022101220020111
432312003113311020110
5113203141443431010
62100344353412404
7133462211035630
oct16660327651024
93545068356214
101020111311380
11363699271897
1214585526a104
1375271a476a5
1437533425dc0
151b80716d58a
hexed835f5214

1020111311380 has 96 divisors (see below), whose sum is σ = 2577922099200. Its totient is φ = 331241726592.

The previous prime is 1020111311339. The next prime is 1020111311381. The reversal of 1020111311380 is 831131110201.

1020111311380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020111311381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8770767 + ... + 8886313.

It is an arithmetic number, because the mean of its divisors is an integer number (26853355200).

Almost surely, 21020111311380 is an apocalyptic number.

1020111311380 is a gapful number since it is divisible by the number (10) 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 1020111311380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288961049600).

1020111311380 is an abundant number, since it is smaller than the sum of its proper divisors (1557810787820).

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

1020111311380 is a wasteful number, since it uses less digits than its factorization.

1020111311380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118901 (or 118899 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

Adding to 1020111311380 its reverse (831131110201), we get a palindrome (1851242421581).

The spelling of 1020111311380 in words is "one trillion, twenty billion, one hundred eleven million, three hundred eleven thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 3319 6638 13276 16595 23233 33190 46466 63061 66380 92932 115547 116165 126122 231094 232330 252244 315305 441427 462188 464660 577735 630610 808829 882854 1155470 1261220 1617658 1765708 2195393 2207135 2310940 3235316 4044145 4390786 4414270 8088290 8781572 8828540 10976965 15367751 16176580 21953930 30735502 43907860 61471004 76838755 153677510 307355020 383500493 767000986 1534001972 1917502465 2684503451 3835004930 5369006902 7286509367 7670009860 10738013804 13422517255 14573018734 26845034510 29146037468 36432546835 51005565569 53690069020 72865093670 102011131138 145730187340 204022262276 255027827845 510055655690 1020111311380