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23003311121232 = 24313192769170067
BaseRepresentation
bin1010011101011111000000…
…01100000010001101010000
310000110002120022012011112120
411032233200030002031100
511003341240121334412
6120531324130254240
74562635331240451
oct516574014021520
9100402508164476
1023003311121232
117369716484142
1226b6242427380
13cab283abac70
1459751abc7128
1529d580127b8c
hex14ebe0302350

23003311121232 has 160 divisors (see below), whose sum is σ = 67368016504320. Its totient is φ = 6705080778240.

The previous prime is 23003311121209. The next prime is 23003311121233. The reversal of 23003311121232 is 23212111330032.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23003311121233) 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, 328269463 + ... + 328339529.

It is an arithmetic number, because the mean of its divisors is an integer number (421050103152).

Almost surely, 223003311121232 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 23003311121232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33684008252160).

23003311121232 is an abundant number, since it is smaller than the sum of its proper divisors (44364705383088).

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

23003311121232 is a wasteful number, since it uses less digits than its factorization.

23003311121232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97801 (or 97795 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 23003311121232 its reverse (23212111330032), we get a palindrome (46215422451264).

The spelling of 23003311121232 in words is "twenty-three trillion, three billion, three hundred eleven million, one hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 11856 27691 55382 70067 83073 110764 140134 166146 210201 221528 280268 332292 359983 420402 443056 526129 560536 664584 719966 840804 910871 1052258 1079949 1121072 1329168 1331273 1439932 1578387 1681608 1821742 2104516 2159898 2662546 2732613 2879864 3156774 3363216 3643484 3993819 4209032 4319796 5325092 5465226 5759728 6313548 6839677 7286968 7987638 8418064 8639592 10650184 10930452 12627096 13679354 14573936 15975276 17279184 17306549 20519031 21300368 21860904 25254192 27358708 31950552 34613098 41038062 43721808 51919647 54717416 63901104 69226196 82076124 103839294 109434832 138452392 164152248 207678588 276904784 328304496 415357176 830714352 1940225297 3880450594 5820675891 7760901188 11641351782 15521802376 23282703564 25222928861 31043604752 36864280643 46565407128 50445857722 73728561286 75668786583 93130814256 100891715444 110592841929 147457122572 151337573166 201783430888 221185683858 294914245144 302675146332 403566861776 442371367716 479235648359 589828490288 605350292664 884742735432 958471296718 1210700585328 1437706945077 1769485470864 1916942593436 2875413890154 3833885186872 5750827780308 7667770373744 11501655560616 23003311121232