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11132103322131 = 31119471736173539
BaseRepresentation
bin1010000111111110010100…
…0100000110101000010011
31110102012220102100202110220
42201333211010012220103
52424342021422302011
635402003452124123
72226160616662221
oct241774504065023
943365812322426
1011132103322131
11360210a1260a0
1212b9586a66643
136299a2caa89c
142a6b22113b11
15144888ede506
hexa1fe5106a13

11132103322131 has 128 divisors (see below), whose sum is σ = 17540963942400. Its totient is φ = 6207651394560.

The previous prime is 11132103322103. The next prime is 11132103322181. The reversal of 11132103322131 is 13122330123111.

It is not a de Polignac number, because 11132103322131 - 223 = 11132094933523 is a prime.

It is a super-3 number, since 3×111321033221313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (11132103322181) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3145548760 + ... + 3145552298.

It is an arithmetic number, because the mean of its divisors is an integer number (137038780800).

Almost surely, 211132103322131 is an apocalyptic number.

11132103322131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11132103322131 is a deficient number, since it is larger than the sum of its proper divisors (6408860620269).

11132103322131 is a wasteful number, since it uses less digits than its factorization.

11132103322131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4409.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 11132103322131 its reverse (13122330123111), we get a palindrome (24254433445242).

The spelling of 11132103322131 in words is "eleven trillion, one hundred thirty-two billion, one hundred three million, three hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 11 19 33 47 57 141 173 209 517 519 617 627 893 1551 1851 1903 2679 3287 3539 5709 6787 8131 9823 9861 10617 11723 20361 24393 28999 29469 35169 36157 38929 67241 86997 89441 106741 108471 116787 128953 154489 166333 201723 268323 318989 320223 386859 463467 498999 550981 612247 739651 956967 1174151 1652943 1699379 1829663 1836741 2028079 2183563 2218953 3160327 3522453 5016827 5098137 5488989 6060791 6084237 6550689 6734717 9480981 11632693 15050481 18182373 20204151 22308869 24019193 28775609 34763597 34898079 41487697 55185097 66926607 72057579 86326827 95319713 102627461 104290791 124463091 127959623 165555291 285959139 307882383 316531699 377756399 383878869 456364667 546736571 949595097 1048516843 1128902071 1133269197 1369094001 1640209713 1949921759 3145550529 3386706213 4155320389 5849765277 6014102281 7177371581 12465961167 17754550753 18042306843 21449139349 21532114743 53263652259 64347418047 78951087391 195300058283 236853262173 337336464307 585900174849 1012009392921 3710701107377 11132103322131