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21313120032032 = 2537731142321587
BaseRepresentation
bin1001101100010010110001…
…11100101101010100100000
32210110111212222110122100012
410312021120330231110200
510243143232212011112
6113155040121344052
74326551661104453
oct466113074552440
983414788418305
1021313120032032
116877930698504
122482760938028
13bb7a845b852a
145397bc09949a
1526e60aa1d022
hex136258f2d520

21313120032032 has 96 divisors (see below), whose sum is σ = 43690445148672. Its totient is φ = 10225141069824.

The previous prime is 21313120031999. The next prime is 21313120032041. The reversal of 21313120032032 is 23023002131312.

It is a junction number, because it is equal to n+sod(n) for n = 21313120031989 and 21313120032007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 987301943 + ... + 987323529.

It is an arithmetic number, because the mean of its divisors is an integer number (455108803632).

Almost surely, 221313120032032 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 21313120032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21845222574336).

21313120032032 is an abundant number, since it is smaller than the sum of its proper divisors (22377325116640).

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

21313120032032 is a wasteful number, since it uses less digits than its factorization.

21313120032032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33130 (or 33122 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 21313120032032 its reverse (23023002131312), we get a palindrome (44336122163344).

The spelling of 21313120032032 in words is "twenty-one trillion, three hundred thirteen billion, one hundred twenty million, thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 37 73 74 146 148 292 296 584 592 1168 1184 2336 2701 5402 10804 11423 21587 21608 22846 43174 43216 45692 86348 86432 91384 172696 182768 345392 365536 422651 690784 798719 833879 845302 1575851 1597438 1667758 1690604 3151702 3194876 3335516 3381208 6303404 6389752 6671032 6762416 12606808 12779504 13342064 13524832 25213616 25559008 26684128 30853523 50427232 58306487 61707046 116612974 123414092 233225948 246588301 246828184 466451896 493176602 493656368 932903792 986353204 987312736 1865807584 1972706408 3945412816 7890825632 9123767137 18000945973 18247534274 36001891946 36495068548 72003783892 72990137096 144007567784 145980274192 288015135568 291960548384 576030271136 666035001001 1332070002002 2664140004004 5328280008008 10656560016016 21313120032032