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13130010340432 = 24371371498631259
BaseRepresentation
bin1011111100010001000110…
…0110100010110001010000
31201111012211222220010022021
42333010101212202301100
53210110230121343212
643531502105221224
72523416616303646
oct277042146426120
951435758803267
1013130010340432
1142024515a1837
121580825a91814
13743201a4073b
143356d2a23196
1517b81d38e307
hexbf1119a2c50

13130010340432 has 160 divisors (see below), whose sum is σ = 26546050944000. Its totient is φ = 6286096134144.

The previous prime is 13130010340399. The next prime is 13130010340457. The reversal of 13130010340432 is 23404301003131.

It is a junction number, because it is equal to n+sod(n) for n = 13130010340397 and 13130010340406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10428919419 + ... + 10428920677.

It is an arithmetic number, because the mean of its divisors is an integer number (165912818400).

Almost surely, 213130010340432 is an apocalyptic number.

It is an amenable number.

13130010340432 is an abundant number, since it is smaller than the sum of its proper divisors (13416040603568).

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

13130010340432 is a wasteful number, since it uses less digits than its factorization.

13130010340432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 13130010340432 its reverse (23404301003131), we get a palindrome (36534311343563).

The spelling of 13130010340432 in words is "thirteen trillion, one hundred thirty billion, ten million, three hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 37 74 137 148 149 274 296 298 548 592 596 863 1096 1192 1259 1726 2192 2384 2518 3452 5036 5069 5513 6904 10072 10138 11026 13808 20144 20276 20413 22052 31931 40552 40826 44104 46583 63862 81104 81652 88208 93166 118231 127724 128587 163304 172483 186332 187591 236462 255448 257174 326608 344966 372664 375182 472924 510896 514348 689932 745328 750364 755281 945848 1028696 1086517 1379864 1500728 1510562 1891696 2057392 2173034 2759728 3001456 3021124 4346068 4374547 4757719 6042248 6381871 6940867 8692136 8749094 9515438 12084496 12763742 13881734 17384272 17498188 17616419 19030876 25527484 25699967 27763468 34996376 35232838 38061752 40201129 51054968 51399934 55526936 69992752 70465676 76123504 80402258 102109936 102799868 111053872 140931352 148852829 160804516 161891033 205599736 281862704 297705658 321609032 323782066 411199472 595411316 643218064 647564132 651807503 950898779 1190822632 1295128264 1303615006 1901797558 2381645264 2590256528 2607230012 3803595116 5214460024 5507554673 5989968221 7607190232 10428920048 11015109346 11979936442 15214380464 22030218692 22179071521 23959872884 44060437384 44358143042 47919745768 88120874768 88716286084 95839491536 177432572168 354865144336 820625646277 1641251292554 3282502585108 6565005170216 13130010340432