Search a number
-
+
103230000333200 = 24521324418132701
BaseRepresentation
bin10111011110001100011011…
…100000000000000110010000
3111112111200200012210022200002
4113132030123200000012100
5102012310020041130300
61003315112451345132
730513056433030536
oct2736143340000620
9445450605708602
10103230000333200
112a98a662a95454
12b6b27ba2b21a8
13457a716445960
141b6c5042c0156
15be03b112a5d5
hex5de31b800190

103230000333200 has 120 divisors (see below), whose sum is σ = 267197224152936. Its totient is φ = 38100072960000.

The previous prime is 103230000333191. The next prime is 103230000333221. The reversal of 103230000333200 is 2333000032301.

It can be written as a sum of positive squares in 12 ways, for example, as 33609800380816 + 69620199952384 = 5797396^2 + 8343872^2 .

It is a super-2 number, since 2×1032300003332002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8626850 + ... + 16759550.

Almost surely, 2103230000333200 is an apocalyptic number.

103230000333200 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 103230000333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133598612076468).

103230000333200 is an abundant number, since it is smaller than the sum of its proper divisors (163967223819736).

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

103230000333200 is a wasteful number, since it uses less digits than its factorization.

103230000333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8135173 (or 8135162 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 103230000333200 its reverse (2333000032301), we get a palindrome (105563000365501).

The spelling of 103230000333200 in words is "one hundred three trillion, two hundred thirty billion, three hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2441 2600 4882 5200 9764 12205 19528 24410 31733 39056 48820 61025 63466 97640 122050 126932 158665 195280 244100 253864 317330 488200 507728 634660 793325 976400 1269320 1586650 2538640 3173300 6346600 8132701 12693200 16265402 32530804 40663505 65061608 81327010 105725113 130123216 162654020 203317525 211450226 325308040 406635050 422900452 528625565 650616080 813270100 845800904 1057251130 1626540200 1691601808 2114502260 2643127825 3253080400 4229004520 5286255650 8458009040 10572511300 19851923141 21145022600 39703846282 42290045200 79407692564 99259615705 158815385128 198519231410 258075000833 317630770256 397038462820 496298078525 516150001666 794076925640 992596157050 1032300003332 1290375004165 1588153851280 1985192314100 2064600006664 2580750008330 3970384628200 4129200013328 5161500016660 6451875020825 7940769256400 10323000033320 12903750041650 20646000066640 25807500083300 51615000166600 103230000333200