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11023445525244 = 223231311013300973
BaseRepresentation
bin1010000001101001100010…
…0011100000001011111100
31110000211102212112202122020
42200122120203200023330
52421102004023301434
635240033450320140
72215263153644325
oct240323043401374
943024385482566
1011023445525244
113570020689059
1212a0501729050
1361c6778a4209
142a17752b944c
15141b29b71849
hexa06988e02fc

11023445525244 has 96 divisors (see below), whose sum is σ = 27071364063744. Its totient is φ = 3484437116160.

The previous prime is 11023445525149. The next prime is 11023445525311. The reversal of 11023445525244 is 44252554432011.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11023445525196 and 11023445525205.

It is a congruent number.

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, 36475542 + ... + 36776514.

It is an arithmetic number, because the mean of its divisors is an integer number (281993375664).

Almost surely, 211023445525244 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 11023445525244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13535682031872).

11023445525244 is an abundant number, since it is smaller than the sum of its proper divisors (16047918538500).

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

11023445525244 is a wasteful number, since it uses less digits than its factorization.

11023445525244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302147 (or 302145 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

Adding to 11023445525244 its reverse (44252554432011), we get a palindrome (55275999957255).

The spelling of 11023445525244 in words is "eleven trillion, twenty-three billion, four hundred forty-five million, five hundred twenty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 131 138 262 276 393 524 786 1013 1572 2026 3013 3039 4052 6026 6078 9039 12052 12156 18078 23299 36156 46598 69897 93196 132703 139794 265406 279588 300973 398109 530812 601946 796218 902919 1203892 1592436 1805838 3052169 3611676 6104338 6922379 9156507 12208676 13844758 18313014 20767137 27689516 36626028 39427463 41534274 78854926 83068548 118282389 157709852 236564778 304885649 473129556 609771298 906831649 914656947 1219542596 1813663298 1829313894 2720494947 3627326596 3658627788 5440989894 7012369927 10881979788 14024739854 21037109781 28049479708 39940020019 42074219562 79880040038 84148439124 119820060057 159760080076 239640120114 479280240228 918620460437 1837240920874 2755861381311 3674481841748 5511722762622 11023445525244