Search a number
-
+
103023211020 = 2235139111711059
BaseRepresentation
bin101111111110010101…
…0010111001000001100
3100211220212100101010020
41133330222113020030
53141442420223040
6115154520542140
710305003562542
oct1377452271014
9324825311106
10103023211020
113a767a0a304
1217b72321950
13993ac5cac2
144db4789d92
152a2e865cd0
hex17fca9720c

103023211020 has 96 divisors (see below), whose sum is σ = 290826681600. Its totient is φ = 27248327424.

The previous prime is 103023211009. The next prime is 103023211061. The reversal of 103023211020 is 20112320301.

It is a super-2 number, since 2×1030232110202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 9310251 + ... + 9321309.

It is an arithmetic number, because the mean of its divisors is an integer number (3029444600).

Almost surely, 2103023211020 is an apocalyptic number.

103023211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103023211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145413340800).

103023211020 is an abundant number, since it is smaller than the sum of its proper divisors (187803470580).

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

103023211020 is a wasteful number, since it uses less digits than its factorization.

103023211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12327 (or 12325 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 103023211020 its reverse (20112320301), we get a palindrome (123135531321).

The spelling of 103023211020 in words is "one hundred three billion, twenty-three million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1117 1390 1668 2085 2234 2780 3351 4170 4468 5585 6702 8340 11059 11170 13404 16755 22118 22340 33177 33510 44236 55295 66354 67020 110590 132708 155263 165885 221180 310526 331770 465789 621052 663540 776315 931578 1537201 1552630 1863156 2328945 3074402 3105260 4611603 4657890 6148804 7686005 9223206 9315780 12352903 15372010 18446412 23058015 24705806 30744020 37058709 46116030 49411612 61764515 74117418 92232060 123529030 148234836 185293545 247058060 370587090 741174180 1717053517 3434107034 5151160551 6868214068 8585267585 10302321102 17170535170 20604642204 25755802755 34341070340 51511605510 103023211020