Search a number
-
+
103001233300 = 225271977331019
BaseRepresentation
bin101111111101101011…
…0100001011110010100
3100211212022222210100121
41133323112201132110
53141421303431200
6115152413521324
710304316015550
oct1377326413624
9324768883317
10103001233300
113a7565690a9
1217b66aa3244
139936536434
144db18a8860
152a2c973e1a
hex17fb5a1794

103001233300 has 144 divisors (see below), whose sum is σ = 257342279040. Its totient is φ = 35053079040.

The previous prime is 103001233273. The next prime is 103001233303. The reversal of 103001233300 is 3332100301.

It is a super-2 number, since 2×1030012333002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103001233303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101080191 + ... + 101081209.

It is an arithmetic number, because the mean of its divisors is an integer number (1787099160).

Almost surely, 2103001233300 is an apocalyptic number.

103001233300 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 103001233300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128671139520).

103001233300 is an abundant number, since it is smaller than the sum of its proper divisors (154341045740).

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

103001233300 is a wasteful number, since it uses less digits than its factorization.

103001233300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 103001233300 its reverse (3332100301), we get a palindrome (106333333601).

The spelling of 103001233300 in words is "one hundred three billion, one million, two hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 197 350 394 700 733 788 985 1019 1379 1466 1970 2038 2758 2932 3665 3940 4076 4925 5095 5131 5516 6895 7133 7330 9850 10190 10262 13790 14266 14660 18325 19700 20380 20524 25475 25655 27580 28532 34475 35665 36650 50950 51310 68950 71330 73300 101900 102620 128275 137900 142660 144401 178325 200743 256550 288802 356650 401486 513100 577604 713300 722005 746927 802972 1003715 1010807 1405201 1444010 1493854 2007430 2021614 2810402 2888020 2987708 3610025 3734635 4014860 4043228 5018575 5054035 5228489 5620804 7026005 7220050 7469270 10037150 10108070 10456978 14052010 14440100 14938540 18673175 20074300 20216140 20913956 25270175 26142445 28104020 35130025 37346350 50540350 52284890 70260050 74692700 101080700 104569780 130712225 140520100 147144619 261424450 294289238 522848900 588578476 735723095 1030012333 1471446190 2060024666 2942892380 3678615475 4120049332 5150061665 7357230950 10300123330 14714461900 20600246660 25750308325 51500616650 103001233300