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20103411321032 = 231323109349220931
BaseRepresentation
bin1001001001000101100001…
…01100001100100011001000
32122011212102022002220121212
410210202300230030203020
510113333241244233112
6110431214001352252
74143265162525514
oct444426054144310
978155368086555
1020103411321032
116450899661116
122308213938688
13b2a988781220
144d7020395144
1524ce08812522
hex1248b0b0c8c8

20103411321032 has 128 divisors (see below), whose sum is σ = 42869645280000. Its totient is φ = 8768425374720.

The previous prime is 20103411321011. The next prime is 20103411321109. The reversal of 20103411321032 is 23012311430102.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 20103411320989 and 20103411321007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90883607 + ... + 91104537.

It is an arithmetic number, because the mean of its divisors is an integer number (334919103750).

Almost surely, 220103411321032 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 20103411321032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21434822640000).

20103411321032 is an abundant number, since it is smaller than the sum of its proper divisors (22766233958968).

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

20103411321032 is a wasteful number, since it uses less digits than its factorization.

20103411321032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221431 (or 221427 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 20103411321032 its reverse (23012311430102), we get a palindrome (43115722751134).

The spelling of 20103411321032 in words is "twenty trillion, one hundred three billion, four hundred eleven million, three hundred twenty-one thousand, thirty-two".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 109 184 218 299 349 436 598 698 872 1196 1396 1417 2392 2507 2792 2834 4537 5014 5668 8027 9074 10028 11336 16054 18148 20056 32108 32591 36296 38041 64216 65182 76082 104351 130364 152164 208702 220931 260728 304328 417404 441862 494533 834808 874943 883724 989066 1749886 1767448 1978132 2872103 3499772 3956264 5081413 5744206 6999544 10162826 11374259 11488412 20325652 22748518 22976824 24081479 40651304 45497036 48162958 66058369 77104919 90994072 96325916 132116738 154209838 192651832 264233476 308419676 313059227 528466952 553874017 616839352 626118454 1002363947 1107748034 1252236908 1773413137 2004727894 2215496068 2504473816 3546826274 4009455788 4430992136 7093652548 7200362221 8018911576 8404436171 14187305096 14400724442 16808872342 23054370781 28801448884 33617744684 46108741562 57602897768 67235489368 92217483124 109257670223 184434966248 193302031933 218515340446 386604063866 437030680892 773208127732 874061361784 1546416255464 2512926415129 5025852830258 10051705660516 20103411321032