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10003002110023 = 13371311398271381
BaseRepresentation
bin1001000110010000000101…
…1000110011000001000111
31022102021111102020020120111
42101210001120303001013
52302342122020010043
633135152110413451
72051456501015536
oct221440130630107
938367442206514
1010003002110023
113207281a0578a
121156795201287
135773820cb2a0
1426820db2431d
151253037a209d
hex91901633047

10003002110023 has 64 divisors (see below), whose sum is σ = 11249985922560. Its totient is φ = 8834161190400.

The previous prime is 10003002109879. The next prime is 10003002110033. The reversal of 10003002110023 is 32001120030001.

It is not a de Polignac number, because 10003002110023 - 233 = 9994412175431 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10003002109985 and 10003002110012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003002110033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7243302793 + ... + 7243304173.

It is an arithmetic number, because the mean of its divisors is an integer number (175781030040).

Almost surely, 210003002110023 is an apocalyptic number.

10003002110023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10003002110023 is a deficient number, since it is larger than the sum of its proper divisors (1246983812537).

10003002110023 is a wasteful number, since it uses less digits than its factorization.

10003002110023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10003002110023 its reverse (32001120030001), we get a palindrome (42004122140024).

The spelling of 10003002110023 in words is "ten trillion, three billion, two million, one hundred ten thousand, twenty-three".

Divisors: 1 13 37 131 139 481 827 1381 1703 1807 4847 5143 10751 17953 18209 30599 51097 63011 66859 108337 114953 180911 191959 236717 397787 664261 673733 1142087 1408381 1494389 2351843 2495467 4008469 4253261 6693707 7102483 8758529 14847131 15058843 25146629 42257219 52110097 55292393 87018191 92332279 149613397 158750093 195764959 326906177 549343847 557177191 930425273 1944974161 2063751209 5535695689 5873753441 7243303483 12095528549 20796262183 71964043957 76358794733 270351408379 769461700771 10003002110023