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23230133131100 = 2252753990163241
BaseRepresentation
bin1010100100000101011111…
…10101010101011101011100
310001020210000220211010111212
411102002233311111131130
511021100303040143400
6121223435325203552
74615215232433120
oct522025765253534
9101223026733455
1023230133131100
1174469315a9345
1227321a47005b8
13cc6790c6b89c
145a44b7217580
152a44081c4335
hex1520afd5575c

23230133131100 has 144 divisors (see below), whose sum is σ = 58704581791296. Its totient is φ = 7813428480000.

The previous prime is 23230133131087. The next prime is 23230133131103. The reversal of 23230133131100 is 113133103232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23230133131103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367295480 + ... + 367358720.

It is an arithmetic number, because the mean of its divisors is an integer number (407670706884).

Almost surely, 223230133131100 is an apocalyptic number.

23230133131100 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 23230133131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29352290895648).

23230133131100 is an abundant number, since it is smaller than the sum of its proper divisors (35474448660196).

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

23230133131100 is a wasteful number, since it uses less digits than its factorization.

23230133131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73216 (or 73209 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 23230133131100 its reverse (113133103232), we get a palindrome (23343266234332).

The spelling of 23230133131100 in words is "twenty-three trillion, two hundred thirty billion, one hundred thirty-three million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 53 70 100 106 140 175 212 265 350 371 530 700 742 1060 1325 1484 1855 2650 3710 5300 7420 9275 9901 18550 19802 37100 39604 49505 63241 69307 99010 126482 138614 198020 247525 252964 277228 316205 346535 442687 495050 524753 632410 693070 885374 990100 1049506 1264820 1386140 1581025 1732675 1770748 2099012 2213435 2623765 3162050 3351773 3465350 3673271 4426870 5247530 6324100 6703546 6930700 7346542 8853740 10495060 11067175 13118825 13407092 14693084 16758865 18366355 22134350 23462411 26237650 33517730 36732710 44268700 46924822 52475300 67035460 73465420 83794325 91831775 93849644 117312055 167588650 183663550 234624110 335177300 367327100 469248220 586560275 626149141 1173120550 1252298282 2346241100 2504596564 3130745705 4383043987 6261491410 8766087974 12522982820 15653728525 17532175948 21915219935 31307457050 33185904473 43830439870 62614914100 66371808946 87660879740 109576099675 132743617892 165929522365 219152199350 232301331311 331859044730 438304398700 464602662622 663718089460 829647611825 929205325244 1161506656555 1659295223650 2323013313110 3318590447300 4646026626220 5807533282775 11615066565550 23230133131100