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1025301144312 = 233325723997699
BaseRepresentation
bin11101110101110001011…
…01011110001011111000
310122000110222222201122000
432322320231132023320
5113244304043104222
62103003345501000
7134034626634114
oct16727055361370
93560428881560
101025301144312
11365911848115
12146863341760
13758bb010953
14378a67c0744
151ba0cac19ac
hexeeb8b5e2f8

1025301144312 has 128 divisors (see below), whose sum is σ = 2860704000000. Its totient is φ = 340251107328.

The previous prime is 1025301144311. The next prime is 1025301144319. The reversal of 1025301144312 is 2134411035201.

1025301144312 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 301 + 1 + 44 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025301144311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133169439 + ... + 133177137.

It is an arithmetic number, because the mean of its divisors is an integer number (22349250000).

Almost surely, 21025301144312 is an apocalyptic number.

1025301144312 is a gapful number since it is divisible by the number (12) 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 1025301144312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430352000000).

1025301144312 is an abundant number, since it is smaller than the sum of its proper divisors (1835402855688).

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

1025301144312 is a wasteful number, since it uses less digits than its factorization.

1025301144312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10370 (or 10360 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1025301144312 its reverse (2134411035201), we get a palindrome (3159712179513).

The spelling of 1025301144312 in words is "one trillion, twenty-five billion, three hundred one million, one hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 257 514 771 1028 1542 2056 2313 2399 3084 4626 4798 6168 6939 7197 7699 9252 9596 13878 14394 15398 18504 19192 21591 23097 27756 28788 30796 43182 46194 55512 57576 61592 64773 69291 86364 92388 129546 138582 172728 184776 207873 259092 277164 415746 518184 554328 616543 831492 1233086 1662984 1849629 1978643 2466172 3699258 3957286 4932344 5548887 5935929 7398516 7914572 11097774 11871858 14797032 15829144 16646661 17807787 18469901 22195548 23743716 33293322 35615574 36939802 44391096 47487432 53423361 55409703 66586644 71231148 73879604 106846722 110819406 133173288 142462296 147759208 166229109 213693444 221638812 332458218 427386888 443277624 498687327 664916436 997374654 1329832872 1994749308 3989498616 4746764557 9493529114 14240293671 18987058228 28480587342 37974116456 42720881013 56961174684 85441762026 113922349368 128162643039 170883524052 256325286078 341767048104 512650572156 1025301144312