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103403014311432 = 2331119129715894091
BaseRepresentation
bin10111100000101101100011…
…111011111100111000001000
3111120010020020212010001122210
4113200231203323330320020
5102023123333130431212
61003530404453345120
730531423042420333
oct2740554373747010
9446106225101583
10103403014311432
112aa46a76960020
12b7202443381a0
134590b299397c4
141b76a3835b61a
15be4b3a37b53c
hex5e0b63efce08

103403014311432 has 128 divisors (see below), whose sum is σ = 297079652390400. Its totient is φ = 29662186521600.

The previous prime is 103403014311409. The next prime is 103403014311433. The reversal of 103403014311432 is 234113410304301.

It is a super-2 number, since 2×1034030143114322 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103403014311432.

It is not an unprimeable number, because it can be changed into a prime (103403014311433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1441294 + ... + 14452797.

It is an arithmetic number, because the mean of its divisors is an integer number (2320934784300).

Almost surely, 2103403014311432 is an apocalyptic number.

103403014311432 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 103403014311432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148539826195200).

103403014311432 is an abundant number, since it is smaller than the sum of its proper divisors (193676638078968).

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

103403014311432 is a wasteful number, since it uses less digits than its factorization.

103403014311432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15895427 (or 15895423 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 103403014311432 its reverse (234113410304301), we get a palindrome (337516424615733).

The spelling of 103403014311432 in words is "one hundred three trillion, four hundred three billion, fourteen million, three hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1297 1672 2508 2594 3891 5016 5188 7782 10376 14267 15564 24643 28534 31128 42801 49286 57068 73929 85602 98572 114136 147858 171204 197144 271073 295716 342408 542146 591432 813219 1084292 1626438 2168584 3252876 6505752 15894091 31788182 47682273 63576364 95364546 127152728 174835001 190729092 301987729 349670002 381458184 524505003 603975458 699340004 905963187 1049010006 1207950916 1398680008 1811926374 2098020012 2415901832 3321865019 3623852748 4196040024 6643730038 7247705496 9965595057 13287460076 19931190114 20614636027 26574920152 39862380228 41229272054 61843908081 79724760456 82458544108 123687816162 164917088216 226760996297 247375632324 391678084513 453521992594 494751264648 680282988891 783356169026 907043985188 1175034253539 1360565977782 1566712338052 1814087970376 2350068507078 2721131955564 3133424676104 4308458929643 4700137014156 5442263911128 8616917859286 9400274028312 12925376788929 17233835718572 25850753577858 34467671437144 51701507155716 103403014311432