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10103103320032 = 251753862340637
BaseRepresentation
bin1001001100000100111111…
…1000100110111111100000
31022202211212122022120212001
42103001033320212333200
52311012123422220112
633253145051013344
72061632214166132
oct223011770467740
938684778276761
1010103103320032
11324577a489418
121172070a3a254
135839458861b8
1426cdc83ad052
15127c1182ec57
hex9304fe26fe0

10103103320032 has 96 divisors (see below), whose sum is σ = 21460897890432. Its totient is φ = 4664040136704.

The previous prime is 10103103319993. The next prime is 10103103320053. The reversal of 10103103320032 is 23002330130101.

10103103320032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10103103319991 and 10103103320009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248598018 + ... + 248638654.

It is an arithmetic number, because the mean of its divisors is an integer number (223551019692).

Almost surely, 210103103320032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103103320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10730448945216).

10103103320032 is an abundant number, since it is smaller than the sum of its proper divisors (11357794570400).

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

10103103320032 is a wasteful number, since it uses less digits than its factorization.

10103103320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49340 (or 49332 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 10103103320032 its reverse (23002330130101), we get a palindrome (33105433450133).

The spelling of 10103103320032 in words is "ten trillion, one hundred three billion, one hundred three million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 53 68 106 136 212 272 424 544 848 901 1696 1802 3604 7208 8623 14416 17246 28832 34492 40637 68984 81274 137968 146591 162548 275936 293182 325096 457019 586364 650192 690829 914038 1172728 1300384 1381658 1828076 2153761 2345456 2763316 3656152 4307522 4690912 5526632 7312304 7769323 8615044 11053264 14624608 15538646 17230088 22106528 31077292 34460176 36613937 62154584 68920352 73227874 124309168 146455748 248618336 292911496 350412851 585822992 700825702 1171645984 1401651404 2803302808 5606605616 5957018467 11213211232 11914036934 18571881103 23828073868 37143762206 47656147736 74287524412 95312295472 148575048824 190624590944 297150097648 315721978751 594300195296 631443957502 1262887915004 2525775830008 5051551660016 10103103320032