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20413021032 = 23331919732521
BaseRepresentation
bin10011000000101101…
…011111101101101000
31221200121200220121000
4103000231133231220
5313301213133112
613213321515000
71321565546565
oct230055375550
957617626530
1020413021032
118725688918
123b58342a60
131c04127b91
14db90b986c
157e71527dc
hex4c0b5fb68

20413021032 has 128 divisors (see below), whose sum is σ = 59741136000. Its totient is φ = 6440394240.

The previous prime is 20413020989. The next prime is 20413021039. The reversal of 20413021032 is 23012031402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20413020996 and 20413021014.

It is not an unprimeable number, because it can be changed into a prime (20413021039) 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, 8095932 + ... + 8098452.

It is an arithmetic number, because the mean of its divisors is an integer number (466727625).

Almost surely, 220413021032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20413021032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29870568000).

20413021032 is an abundant number, since it is smaller than the sum of its proper divisors (39328114968).

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

20413021032 is a wasteful number, since it uses less digits than its factorization.

20413021032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4528 (or 4518 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20413021032 its reverse (23012031402), we get a palindrome (43425052434).

The spelling of 20413021032 in words is "twenty billion, four hundred thirteen million, twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 1973 2052 2521 3946 4104 5042 5919 7563 7892 10084 11838 15126 15784 17757 20168 22689 23676 30252 35514 37487 45378 47352 47899 53271 60504 68067 71028 74974 90756 95798 106542 112461 136134 142056 143697 149948 181512 191596 213084 224922 272268 287394 299896 337383 383192 426168 431091 449844 544536 574788 674766 862182 899688 1012149 1149576 1293273 1349532 1724364 2024298 2586546 2699064 3448728 4048596 4973933 5173092 8097192 9947866 10346184 14921799 19895732 29843598 39791464 44765397 59687196 89530794 94504727 119374392 134296191 179061588 189009454 268592382 283514181 358123176 378018908 537184764 567028362 756037816 850542543 1074369528 1134056724 1701085086 2268113448 2551627629 3402170172 5103255258 6804340344 10206510516 20413021032