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103254221312 = 2911212912
BaseRepresentation
bin110000000101001101…
…1100110001000000000
3100212111222000220122222
41200022123212020000
53142431040040222
6115233452150212
710313510254124
oct1401233461000
9325458026588
10103254221312
113a876352800
1218017768368
139976a83b98
144dd7321584
152a44c98542
hex180a6e6200

103254221312 has 90 divisors (see below), whose sum is σ = 226942738407. Its totient is φ = 46897382400.

The previous prime is 103254221311. The next prime is 103254221383. The reversal of 103254221312 is 213122452301.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 51627110656 + 51627110656 = 227216^2 + 227216^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=227216.

It is a super-2 number, since 2×1032542213122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103254221311) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 79979387 + ... + 79980677.

Almost surely, 2103254221312 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 103254221312

103254221312 is an abundant number, since it is smaller than the sum of its proper divisors (123688517095).

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

103254221312 is an frugal number, since it uses more digits than its factorization.

103254221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 103254221312 its reverse (213122452301), we get a palindrome (316376673613).

The spelling of 103254221312 in words is "one hundred three billion, two hundred fifty-four million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1291 1408 1936 2582 2816 3872 5164 5632 7744 10328 14201 15488 20656 28402 30976 41312 56804 61952 82624 113608 156211 165248 227216 312422 330496 454432 624844 660992 908864 1249688 1666681 1817728 2499376 3333362 3635456 4998752 6666724 7270912 9997504 13333448 18333491 19995008 26666896 36666982 39990016 53333792 73333964 79980032 106667584 146667928 201668401 213335168 293335856 403336802 426670336 586671712 806673604 853340672 1173343424 1613347208 2346686848 3226694416 4693373696 6453388832 9386747392 12906777664 25813555328 51627110656 103254221312