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10422301240032 = 2531121947222983
BaseRepresentation
bin1001011110101010000110…
…0100000010101011100000
31100220100210002111222221020
42113222201210002223200
52331224333104140112
634055534502125440
72123662224556653
oct227524144025340
940810702458836
1010422301240032
113359089383100
121203ab3720880
135a7a84b5bb86
1428062908989a
1513119462148c
hex97aa1902ae0

10422301240032 has 144 divisors (see below), whose sum is σ = 31654510634880. Its totient is φ = 2992048139520.

The previous prime is 10422301240019. The next prime is 10422301240033. The reversal of 10422301240032 is 23004210322401.

It is a happy number.

It is a super-2 number, since 2×104223012400322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10422301239984 and 10422301240011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10422301240033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23390788 + ... + 23832195.

It is an arithmetic number, because the mean of its divisors is an integer number (219822990520).

Almost surely, 210422301240032 is an apocalyptic number.

10422301240032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10422301240032 is an abundant number, since it is smaller than the sum of its proper divisors (21232209394848).

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

10422301240032 is a wasteful number, since it uses less digits than its factorization.

10422301240032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47223037 (or 47223018 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10422301240032 its reverse (23004210322401), we get a palindrome (33426511562433).

The spelling of 10422301240032 in words is "ten trillion, four hundred twenty-two billion, three hundred one million, two hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 121 132 152 176 209 228 242 264 304 352 363 418 456 484 528 608 627 726 836 912 968 1056 1254 1452 1672 1824 1936 2299 2508 2904 3344 3872 4598 5016 5808 6688 6897 9196 10032 11616 13794 18392 20064 27588 36784 55176 73568 110352 220704 47222983 94445966 141668949 188891932 283337898 377783864 519452813 566675796 755567728 897236677 1038905626 1133351592 1511135456 1558358439 1794473354 2077811252 2266703184 2691710031 3116716878 3588946708 4155622504 4533406368 5383420062 5713980943 6233433756 7177893416 8311245008 9869603447 10766840124 11427961886 12466867512 14355786832 16622490016 17141942829 19739206894 21533680248 22855923772 24933735024 28711573664 29608810341 34283885658 39478413788 43067360496 45711847544 49867470048 59217620682 68567771316 78956827576 86134720992 91423695088 108565637917 118435241364 137135542632 157913655152 182847390176 217131275834 236870482728 274271085264 315827310304 325696913751 434262551668 473740965456 548542170528 651393827502 868525103336 947481930912 1302787655004 1737050206672 2605575310008 3474100413344 5211150620016 10422301240032