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103112200554 = 231117537323753
BaseRepresentation
bin110000000000111110…
…1110101000101101010
3100212011001210111210220
41200001331311011222
53142133210404204
6115211420150510
710310134146336
oct1400175650552
9325131714726
10103112200554
113a803170480
1217b98098436
139953519b2c
144dc25127c6
152a375931d9
hex1801f7516a

103112200554 has 128 divisors (see below), whose sum is σ = 246035190528. Its totient is φ = 28456796160.

The previous prime is 103112200517. The next prime is 103112200559. The reversal of 103112200554 is 455002211301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (103112200559) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4329142 + ... + 4352894.

It is an arithmetic number, because the mean of its divisors is an integer number (1922149926).

Almost surely, 2103112200554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103112200554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123017595264).

103112200554 is an abundant number, since it is smaller than the sum of its proper divisors (142922989974).

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

103112200554 is a wasteful number, since it uses less digits than its factorization.

103112200554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23912.

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 103112200554 its reverse (455002211301), we get a palindrome (558114411855).

The spelling of 103112200554 in words is "one hundred three billion, one hundred twelve million, two hundred thousand, five hundred fifty-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 53 66 73 102 106 146 159 187 219 318 374 438 561 583 803 901 1122 1166 1241 1606 1749 1802 2409 2482 2703 3498 3723 3869 4818 5406 7446 7738 9911 11607 13651 19822 23214 23753 27302 29733 40953 42559 47506 59466 65773 71259 81906 85118 127677 131546 142518 197319 255354 261283 394638 403801 522566 723503 783849 807602 1211403 1258909 1447006 1567698 1733969 2170509 2422806 2517818 3467938 3776727 4341018 4441811 5201907 7553454 8883622 10403814 13325433 13847999 19073659 21401453 26650866 27695998 29477473 38147318 41543997 42802906 57220977 58954946 64204359 83087994 88432419 91900357 114441954 128408718 176864838 183800714 235415983 275701071 324252203 470831966 551402142 648504406 706247949 972756609 1010903927 1412495898 1562306069 1945513218 2021807854 3032711781 3124612138 4686918207 6065423562 9373836414 17185366759 34370733518 51556100277 103112200554