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103132344432 = 243131719511691
BaseRepresentation
bin110000000001100101…
…0101011000001110000
3100212012110200221000110
41200003022223001300
53142203340010212
6115213420021320
710310500315005
oct1400312530160
9325173627013
10103132344432
113a813579907
1217ba2991840
1399577508a0
144dc50778ac
152a39221a3c
hex18032ab070

103132344432 has 160 divisors (see below), whose sum is σ = 319787032320. Its totient is φ = 28294410240.

The previous prime is 103132344409. The next prime is 103132344439. The reversal of 103132344432 is 234443231301.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 103132344432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103132344439) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 54294 + ... + 457397.

It is an arithmetic number, because the mean of its divisors is an integer number (1998668952).

Almost surely, 2103132344432 is an apocalyptic number.

103132344432 is a gapful number since it is divisible by the number (12) 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 103132344432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159893516160).

103132344432 is an abundant number, since it is smaller than the sum of its proper divisors (216654687888).

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

103132344432 is a wasteful number, since it uses less digits than its factorization.

103132344432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511751 (or 511745 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 103132344432 its reverse (234443231301), we get a palindrome (337575575733).

The spelling of 103132344432 in words is "one hundred three billion, one hundred thirty-two million, three hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 19 24 26 34 38 39 48 51 52 57 68 76 78 102 104 114 136 152 156 204 208 221 228 247 272 304 312 323 408 442 456 494 624 646 663 741 816 884 912 969 988 1292 1326 1482 1768 1938 1976 2584 2652 2964 3536 3876 3952 4199 5168 5304 5928 7752 8398 10608 11856 12597 15504 16796 25194 33592 50388 67184 100776 201552 511691 1023382 1535073 2046764 3070146 4093528 6140292 6651983 8187056 8698747 9722129 12280584 13303966 17397494 19444258 19955949 24561168 26096241 26607932 29166387 34794988 38888516 39911898 52192482 53215864 58332774 69589976 77777032 79823796 104384964 106431728 113083711 116665548 126387677 139179952 155554064 159647592 165276193 208769928 226167422 233331096 252775354 319295184 330552386 339251133 379163031 417539856 452334844 466662192 495828579 505550708 661104772 678502266 758326062 904669688 991657158 1011101416 1322209544 1357004532 1516652124 1809339376 1983314316 2022202832 2148590509 2644419088 2714009064 3033304248 3966628632 4297181018 5428018128 6066608496 6445771527 7933257264 8594362036 12891543054 17188724072 25783086108 34377448144 51566172216 103132344432