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10600111104 = 210311228517
BaseRepresentation
bin10011101111101000…
…01101110000000000
31000100201222102210120
421313310031300000
5133202112023404
64511501100240
7523452313002
oct116764156000
930321872716
1010600111104
11454a539400
122079b57680
13ccc1247bb
14727b38372
154208ed9d9
hex277d0dc00

10600111104 has 132 divisors (see below), whose sum is σ = 31056216072. Its totient is φ = 3212042240.

The previous prime is 10600111097. The next prime is 10600111147. The reversal of 10600111104 is 40111100601.

It is a tau number, because it is divible by the number of its divisors (132).

It is a super-2 number, since 2×106001111042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 357454 + ... + 385970.

Almost surely, 210600111104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10600111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15528108036).

10600111104 is an abundant number, since it is smaller than the sum of its proper divisors (20456104968).

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

10600111104 is a wasteful number, since it uses less digits than its factorization.

10600111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28562 (or 28533 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10600111104 its reverse (40111100601), we get a palindrome (50711211705).

The spelling of 10600111104 in words is "ten billion, six hundred million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 512 528 704 726 768 968 1024 1056 1408 1452 1536 1936 2112 2816 2904 3072 3872 4224 5632 5808 7744 8448 11264 11616 15488 16896 23232 28517 30976 33792 46464 57034 61952 85551 92928 114068 123904 171102 185856 228136 313687 342204 371712 456272 627374 684408 912544 941061 1254748 1368816 1825088 1882122 2509496 2737632 3450557 3650176 3764244 5018992 5475264 6901114 7300352 7528488 10037984 10351671 10950528 13802228 14600704 15056976 20075968 20703342 21901056 27604456 29201408 30113952 40151936 41406684 43802112 55208912 60227904 80303872 82813368 87604224 110417824 120455808 160607744 165626736 220835648 240911616 321215488 331253472 441671296 481823232 662506944 883342592 963646464 1325013888 1766685184 2650027776 3533370368 5300055552 10600111104