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101325304040000 = 26543896511909
BaseRepresentation
bin10111000010011110100010…
…110000010000101001000000
3111021202121022122200101210112
4113002132202300100221000
5101240103210313240000
6555300111351450452
730225340330462205
oct2702364260205100
9437677278611715
10101325304040000
112a315902649117
12b445633386a28
13446cc2075a501
141b04256c89cac
15baaa84e23235
hex5c27a2c10a40

101325304040000 has 140 divisors (see below), whose sum is σ = 251899758696300. Its totient is φ = 40425924864000.

The previous prime is 101325304039963. The next prime is 101325304040021. The reversal of 101325304040000 is 40403523101.

It can be written as a sum of positive squares in 10 ways, for example, as 57545696748544 + 43779607291456 = 7585888^2 + 6616616^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12304046 + ... + 18815954.

Almost surely, 2101325304040000 is an apocalyptic number.

101325304040000 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 101325304040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125949879348150).

101325304040000 is an abundant number, since it is smaller than the sum of its proper divisors (150574454656300).

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

101325304040000 is an frugal number, since it uses more digits than its factorization.

101325304040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6512330 (or 6512305 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 101325304040000 its reverse (40403523101), we get a palindrome (101365707563101).

The spelling of 101325304040000 in words is "one hundred one trillion, three hundred twenty-five billion, three hundred four million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 389 400 500 625 778 800 1000 1250 1556 1600 1945 2000 2500 3112 3890 4000 5000 6224 7780 8000 9725 10000 12448 15560 19450 20000 24896 31120 38900 40000 48625 62240 77800 97250 124480 155600 194500 243125 311200 389000 486250 622400 778000 972500 1556000 1945000 3112000 3890000 6511909 7780000 13023818 15560000 26047636 32559545 52095272 65119090 104190544 130238180 162797725 208381088 260476360 325595450 416762176 520952720 651190900 813988625 1041905440 1302381800 1627977250 2083810880 2533132601 2604763600 3255954500 4069943125 5066265202 5209527200 6511909000 8139886250 10132530404 10419054400 12665663005 13023818000 16279772500 20265060808 25331326010 26047636000 32559545000 40530121616 50662652020 52095272000 63328315025 65119090000 81060243232 101325304040 126656630050 130238180000 162120486464 202650608080 253313260100 260476360000 316641575125 405301216160 506626520200 633283150250 810602432320 1013253040400 1266566300500 1583207875625 2026506080800 2533132601000 3166415751250 4053012161600 5066265202000 6332831502500 10132530404000 12665663005000 20265060808000 25331326010000 50662652020000 101325304040000