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20113233023232 = 283317231688857
BaseRepresentation
bin1001001001010111110100…
…00111000001000100000000
32122012210202210101002011000
410210223322013001010000
510114013400123220412
6110435520334452000
74144063443602016
oct444537207010400
978183683332130
1020113233023232
116454a79766378
12230a0b5064000
13b2b89254252b
144d76b29848b6
1524d2d0c014dc
hex124afa1c1100

20113233023232 has 144 divisors (see below), whose sum is σ = 59512923964480. Its totient is φ = 6700515913728.

The previous prime is 20113233023197. The next prime is 20113233023251. The reversal of 20113233023232 is 23232033231102.

20113233023232 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 3 + 2 + 330 + 2 + 323 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×201132330232324 (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20113233023196 and 20113233023205.

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, 11064948 + ... + 12753804.

Almost surely, 220113233023232 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 20113233023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29756461982240).

20113233023232 is an abundant number, since it is smaller than the sum of its proper divisors (39399690941248).

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

20113233023232 is a wasteful number, since it uses less digits than its factorization.

20113233023232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690605 (or 1690585 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 20113233023232 its reverse (23232033231102), we get a palindrome (43345266254334).

The spelling of 20113233023232 in words is "twenty trillion, one hundred thirteen billion, two hundred thirty-three million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1723 1728 2304 3446 3456 5169 6892 6912 10338 13784 15507 20676 27568 31014 41352 46521 55136 62028 82704 93042 110272 124056 165408 186084 220544 248112 330816 372168 441088 496224 661632 744336 992448 1323264 1488672 1688857 1984896 2977344 3377714 3969792 5066571 5954688 6755428 10133142 11909376 13510856 15199713 20266284 27021712 30399426 40532568 45599139 54043424 60798852 81065136 91198278 108086848 121597704 162130272 182396556 216173696 243195408 324260544 364793112 432347392 486390816 648521088 729586224 972781632 1297042176 1459172448 1945563264 2909900611 2918344896 3891126528 5819801222 5836689792 8729701833 11639602444 11673379584 17459403666 23279204888 26189105499 34918807332 46558409776 52378210998 69837614664 78567316497 93116819552 104756421996 139675229328 157134632994 186233639104 209512843992 279350458656 314269265988 372467278208 419025687984 558700917312 628538531976 744934556416 838051375968 1117401834624 1257077063952 1676102751936 2234803669248 2514154127904 3352205503872 5028308255808 6704411007744 10056616511616 20113233023232