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23233002301120 = 2653731121317359
BaseRepresentation
bin1010100100001010110101…
…10110010110011011000000
310001021001102212200001212011
411102011122312112123000
511021122142042113440
6121225032141342304
74615346312120233
oct522053266263300
9101231385601764
1023233002301120
117448074130237
122732865567994
13cc6b2a506921
145a46aa2c541a
152a45250239ea
hex15215ad966c0

23233002301120 has 112 divisors (see below), whose sum is σ = 55480050299520. Its totient is φ = 9266925735936.

The previous prime is 23233002301109. The next prime is 23233002301129. The reversal of 23233002301120 is 2110320033232.

It is a junction number, because it is equal to n+sod(n) for n = 23233002301091 and 23233002301100.

It is not an unprimeable number, because it can be changed into a prime (23233002301129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1338375001 + ... + 1338392359.

It is an arithmetic number, because the mean of its divisors is an integer number (495357591960).

Almost surely, 223233002301120 is an apocalyptic number.

23233002301120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23233002301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27740025149760).

23233002301120 is an abundant number, since it is smaller than the sum of its proper divisors (32247047998400).

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

23233002301120 is a wasteful number, since it uses less digits than its factorization.

23233002301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28962 (or 28952 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 23233002301120 its reverse (2110320033232), we get a palindrome (25343322334352).

The spelling of 23233002301120 in words is "twenty-three trillion, two hundred thirty-three billion, two million, three hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 373 746 1492 1865 2984 3730 5968 7460 11213 11936 14920 17359 22426 23872 29840 34718 44852 56065 59680 69436 86795 89704 112130 119360 138872 173590 179408 224260 277744 347180 358816 448520 555488 694360 717632 897040 1110976 1388720 1794080 2777440 3588160 4182449 5554880 6474907 8364898 12949814 16729796 20912245 25899628 32374535 33459592 41824490 51799256 64749070 66919184 83648980 103598512 129498140 133838368 167297960 194646467 207197024 258996280 267676736 334595920 389292934 414394048 517992560 669191840 778585868 973232335 1035985120 1338383680 1557171736 1946464670 2071970240 3114343472 3892929340 6228686944 7785858680 12457373888 15571717360 31143434720 62286869440 72603132191 145206264382 290412528764 363015660955 580825057528 726031321910 1161650115056 1452062643820 2323300230112 2904125287640 4646600460224 5808250575280 11616501150560 23233002301120