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103010725248 = 27313717910939
BaseRepresentation
bin101111111101111101…
…0101110110110000000
3100211212222212000212020
41133323322232312000
53141431221201443
6115153353201440
710304462501064
oct1377372566600
9324788760766
10103010725248
113a760961592
1217b6a100280
1399384aa982
144db2c59aa4
152a2d6eb583
hex17fbeaed80

103010725248 has 128 divisors (see below), whose sum is σ = 277184592000. Its totient is φ = 33892749312.

The previous prime is 103010725241. The next prime is 103010725319. The reversal of 103010725248 is 842527010301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1030107252482 (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 (103010725241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9411363 + ... + 9422301.

It is an arithmetic number, because the mean of its divisors is an integer number (2165504625).

Almost surely, 2103010725248 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 103010725248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138592296000).

103010725248 is an abundant number, since it is smaller than the sum of its proper divisors (174173866752).

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

103010725248 is a wasteful number, since it uses less digits than its factorization.

103010725248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11272 (or 11260 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

Adding to 103010725248 its reverse (842527010301), we get a palindrome (945537735549).

The spelling of 103010725248 in words is "one hundred three billion, ten million, seven hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 179 192 274 358 384 411 537 548 716 822 1074 1096 1432 1644 2148 2192 2864 3288 4296 4384 5728 6576 8592 8768 10939 11456 13152 17184 17536 21878 22912 24523 26304 32817 34368 43756 49046 52608 65634 68736 73569 87512 98092 131268 147138 175024 196184 262536 294276 350048 392368 525072 588552 700096 784736 1050144 1177104 1400192 1498643 1569472 1958081 2100288 2354208 2997286 3138944 3916162 4200576 4495929 4708416 5874243 5994572 7832324 8991858 9416832 11748486 11989144 15664648 17983716 23496972 23978288 31329296 35967432 46993944 47956576 62658592 71934864 93987888 95913152 125317184 143869728 187975776 191826304 250634368 268257097 287739456 375951552 536514194 575478912 751903104 804771291 1073028388 1609542582 2146056776 3219085164 4292113552 6438170328 8584227104 12876340656 17168454208 25752681312 34336908416 51505362624 103010725248