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13501115334 = 23272711671291
BaseRepresentation
bin11001001001011101…
…01010101111000110
31021211220201201110200
430210232222233012
5210122241142314
610111411431330
7655366405200
oct144456525706
937756651420
1013501115334
1157a9033863
1227495b5546
131372157655
14921131770
1554043a709
hex324baabc6

13501115334 has 144 divisors (see below), whose sum is σ = 34741115136. Its totient is φ = 3777429600.

The previous prime is 13501115297. The next prime is 13501115357. The reversal of 13501115334 is 43351110531.

It is a happy number.

13501115334 is a `hidden beast` number, since 1 + 3 + 501 + 1 + 153 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13501115298 and 13501115307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10457229 + ... + 10458519.

It is an arithmetic number, because the mean of its divisors is an integer number (241257744).

Almost surely, 213501115334 is an apocalyptic number.

13501115334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13501115334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17370557568).

13501115334 is an abundant number, since it is smaller than the sum of its proper divisors (21239999802).

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

13501115334 is a wasteful number, since it uses less digits than its factorization.

13501115334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 13501115334 its reverse (43351110531), we get a palindrome (56852225865).

The spelling of 13501115334 in words is "thirteen billion, five hundred one million, one hundred fifteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 71 98 126 142 147 167 213 294 334 426 441 497 501 639 882 994 1002 1169 1278 1291 1491 1503 2338 2582 2982 3006 3479 3507 3873 4473 6958 7014 7746 8183 8946 9037 10437 10521 11619 11857 16366 18074 20874 21042 23238 23714 24549 27111 31311 35571 49098 54222 62622 63259 71142 73647 81333 82999 91661 106713 126518 147294 162666 165998 183322 189777 213426 215597 248997 274983 379554 431194 497994 549966 569331 580993 641627 646791 746991 824949 1138662 1161986 1283254 1293582 1493982 1509179 1649898 1742979 1924881 1940373 3018358 3485958 3849762 3880746 4491389 4527537 5228937 5774643 8982778 9055074 10457874 10564253 11549286 13474167 13582611 15307387 21128506 26948334 27165222 30614774 31692759 40422501 45922161 63385518 80845002 91844322 95078277 107151709 137766483 190156554 214303418 275532966 321455127 642910254 750061963 964365381 1500123926 1928730762 2250185889 4500371778 6750557667 13501115334