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13424425202100 = 223521136711108147
BaseRepresentation
bin1100001101011001111000…
…0110000111000110110100
31202112100210021101201121010
43003112132012013012310
53224421210322431400
644315032405352220
72553611525321223
oct303263606070664
952470707351533
1013424425202100
1143062a3063a30
1216098b0a08670
13764bc1719563
14345a620a8cba
15184300562450
hexc359e1871b4

13424425202100 has 144 divisors (see below), whose sum is σ = 42383948253696. Its totient is φ = 3253516656000.

The previous prime is 13424425202003. The next prime is 13424425202107. The reversal of 13424425202100 is 120252442431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13424425202107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11560227 + ... + 12668373.

It is an arithmetic number, because the mean of its divisors is an integer number (294332973984).

Almost surely, 213424425202100 is an apocalyptic number.

13424425202100 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 13424425202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21191974126848).

13424425202100 is an abundant number, since it is smaller than the sum of its proper divisors (28959523051596).

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

13424425202100 is a wasteful number, since it uses less digits than its factorization.

13424425202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111846 (or 1111839 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 13424425202100 its reverse (120252442431), we get a palindrome (13544677644531).

The spelling of 13424425202100 in words is "thirteen trillion, four hundred twenty-four billion, four hundred twenty-five million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3671 7342 11013 14684 18355 22026 36710 40381 44052 55065 73420 80762 91775 110130 121143 161524 183550 201905 220260 242286 275325 367100 403810 484572 550650 605715 807620 1009525 1101300 1108147 1211430 2019050 2216294 2422860 3028575 3324441 4038100 4432588 5540735 6057150 6648882 11081470 12114300 12189617 13297764 16622205 22162940 24379234 27703675 33244410 36568851 48758468 55407350 60948085 66488820 73137702 83111025 110814700 121896170 146275404 166222050 182844255 243792340 304740425 332444100 365688510 609480850 731377020 914221275 1218961700 1828442550 3656885100 4068007637 8136015274 12204022911 16272030548 20340038185 24408045822 40680076370 44748084007 48816091644 61020114555 81360152740 89496168014 101700190925 122040229110 134244252021 178992336028 203400381850 223740420035 244080458220 268488504042 305100572775 406800763700 447480840070 536977008084 610201145550 671221260105 894961680140 1118702100175 1220402291100 1342442520210 2237404200350 2684885040420 3356106300525 4474808400700 6712212601050 13424425202100