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1030103001030 = 235103941935393
BaseRepresentation
bin11101111110101101110…
…11000110011111000110
310122110212122112022201010
432333112323012133012
5113334122332013110
62105120042143050
7134264625016305
oct16772673063706
93573778468633
101030103001030
11367956320144
121477834b1a86
13761a4ab539c
1437c0042443c
151bbde439020
hexefd6ec67c6

1030103001030 has 64 divisors (see below), whose sum is σ = 2496585162240. Its totient is φ = 271990634496.

The previous prime is 1030103000903. The next prime is 1030103001061. The reversal of 1030103001030 is 301003010301.

It is a super-2 number, since 2×10301030010302 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1030103000997 and 1030103001015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29087014 + ... + 29122406.

It is an arithmetic number, because the mean of its divisors is an integer number (39009143160).

Almost surely, 21030103001030 is an apocalyptic number.

1030103001030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1030103001030 is an abundant number, since it is smaller than the sum of its proper divisors (1466482161210).

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

1030103001030 is a wasteful number, since it uses less digits than its factorization.

1030103001030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44925.

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 1030103001030 its reverse (301003010301), we get a palindrome (1331106011331).

The spelling of 1030103001030 in words is "one trillion, thirty billion, one hundred three million, one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 103 206 309 515 618 1030 1545 3090 9419 18838 28257 35393 47095 56514 70786 94190 106179 141285 176965 212358 282570 353930 530895 970157 1061790 1940314 2910471 3645479 4850785 5820942 7290958 9701570 10936437 14552355 18227395 21872874 29104710 36454790 54682185 109364370 333366667 666733334 1000100001 1666833335 2000200002 3333666670 5000500005 10001000010 34336766701 68673533402 103010300103 171683833505 206020600206 343367667010 515051500515 1030103001030