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103511505342 = 237411092232473
BaseRepresentation
bin110000001100111000…
…1000011100110111110
3100220011220011022000010
41200121301003212332
53143442421132332
6115315202444050
710323053164260
oct1403161034676
9326156138003
10103511505342
113a998601033
1218089963626
1399b8176b5b
14501d575b30
152a5c66a9cc
hex1819c439be

103511505342 has 128 divisors (see below), whose sum is σ = 245788139520. Its totient is φ = 28448962560.

The previous prime is 103511505329. The next prime is 103511505403. The reversal of 103511505342 is 243505115301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41855418 + ... + 41857890.

It is an arithmetic number, because the mean of its divisors is an integer number (1920219840).

Almost surely, 2103511505342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103511505342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122894069760).

103511505342 is an abundant number, since it is smaller than the sum of its proper divisors (142276634178).

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

103511505342 is a wasteful number, since it uses less digits than its factorization.

103511505342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858.

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 103511505342 in words is "one hundred three billion, five hundred eleven million, five hundred five thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 41 42 82 109 123 218 223 246 287 327 446 574 654 669 763 861 1338 1526 1561 1722 2289 2473 3122 4469 4578 4683 4946 7419 8938 9143 9366 13407 14838 17311 18286 24307 26814 27429 31283 34622 48614 51933 54858 62566 64001 72921 93849 101393 103866 128002 145842 170149 187698 192003 202786 269557 304179 340298 384006 510447 539114 551479 608358 709751 808671 996587 1020894 1102958 1419502 1617342 1654437 1886899 1993174 2129253 2989761 3308874 3773798 3860353 4258506 5660697 5979522 6976109 7720706 11051837 11321394 11581059 13952218 20928327 22103674 22610639 23162118 33155511 41856654 45221278 60111211 66311022 67831917 77362859 120222422 135663834 154725718 158274473 180333633 232088577 316548946 360667266 420778477 464177154 474823419 841556954 949646838 1262335431 2464559651 2524670862 4929119302 7393678953 14787357906 17251917557 34503835114 51755752671 103511505342