Search a number
-
+
103134213440 = 2654356313313
BaseRepresentation
bin110000000001101000…
…1110011010101000000
3100212012121012212210222
41200003101303111000
53142204324312230
6115213524042212
710310522231006
oct1400321632500
9325177185728
10103134213440
113a814636045
1217ba3533368
139957c564cb
144dc5402a76
152a394906e5
hex1803473540

103134213440 has 112 divisors (see below), whose sum is σ = 251764970688. Its totient is φ = 40219705344.

The previous prime is 103134213439. The next prime is 103134213487. The reversal of 103134213440 is 44312431301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7740224 + ... + 7753536.

It is an arithmetic number, because the mean of its divisors is an integer number (2247901524).

Almost surely, 2103134213440 is an apocalyptic number.

103134213440 is a gapful number since it is divisible by the number (10) 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 103134213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125882485344).

103134213440 is an abundant number, since it is smaller than the sum of its proper divisors (148630757248).

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

103134213440 is a wasteful number, since it uses less digits than its factorization.

103134213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13936 (or 13926 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 103134213440 its reverse (44312431301), we get a palindrome (147446644741).

The spelling of 103134213440 in words is "one hundred three billion, one hundred thirty-four million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 430 563 688 860 1126 1376 1720 2252 2752 2815 3440 4504 5630 6880 9008 11260 13313 13760 18016 22520 24209 26626 36032 45040 48418 53252 66565 90080 96836 106504 121045 133130 180160 193672 213008 242090 266260 387344 426016 484180 532520 572459 774688 852032 968360 1065040 1144918 1549376 1936720 2130080 2289836 2862295 3873440 4260160 4579672 5724590 7495219 7746880 9159344 11449180 14990438 18318688 22898360 29980876 36637376 37476095 45796720 59961752 74952190 91593440 119923504 149904380 183186880 239847008 299808760 322294417 479694016 599617520 644588834 1199235040 1289177668 1611472085 2398470080 2578355336 3222944170 5156710672 6445888340 10313421344 12891776680 20626842688 25783553360 51567106720 103134213440