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103101003232 = 2517296619887
BaseRepresentation
bin110000000000101001…
…1000111010111100000
3100212010021201121222021
41200001103013113200
53142122324100412
6115210340151224
710306640032153
oct1400123072740
9325107647867
10103101003232
113a7a7912797
1217b94398514
1399510c92b6
144dc0c39c9a
152a365d0607
hex18014c75e0

103101003232 has 96 divisors (see below), whose sum is σ = 222690021120. Its totient is φ = 46769479680.

The previous prime is 103101003227. The next prime is 103101003233. The reversal of 103101003232 is 232300101301.

It is a super-4 number, since 4×1031010032324 (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103101003233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10422993 + ... + 10432879.

It is an arithmetic number, because the mean of its divisors is an integer number (2319687720).

Almost surely, 2103101003232 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 103101003232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111345010560).

103101003232 is an abundant number, since it is smaller than the sum of its proper divisors (119589017888).

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

103101003232 is a wasteful number, since it uses less digits than its factorization.

103101003232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10604 (or 10596 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 103101003232 its reverse (232300101301), we get a palindrome (335401104533).

The spelling of 103101003232 in words is "one hundred three billion, one hundred one million, three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 232 272 464 493 544 661 928 986 1322 1972 2644 3944 5288 7888 9887 10576 11237 15776 19169 19774 21152 22474 38338 39548 44948 76676 79096 89896 153352 158192 168079 179792 286723 306704 316384 325873 336158 359584 573446 613408 651746 672316 1146892 1303492 1344632 2293784 2606984 2689264 4587568 4874291 5213968 5378528 6535307 9175136 9748582 10427936 13070614 19497164 26141228 38994328 52282456 77988656 104564912 111100219 155977312 189523903 209129824 222200438 379047806 444400876 758095612 888801752 1516191224 1777603504 3032382448 3221906351 3555207008 6064764896 6443812702 12887625404 25775250808 51550501616 103101003232