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11023431242010 = 23511291481377761
BaseRepresentation
bin1010000001101001011110…
…1101000001000100011010
31110000211101212200002201120
42200122113231001010122
52421101441344221020
635240032220230110
72215262621355255
oct240322755010432
943024355602646
1011023431242010
113570013612930
1212a04b899b336
1361c674942bb5
142a177343c09c
15141b2879e740
hexa0697b4111a

11023431242010 has 128 divisors (see below), whose sum is σ = 29858965666560. Its totient is φ = 2579989708800.

The previous prime is 11023431242009. The next prime is 11023431242081. The reversal of 11023431242010 is 1024213432011.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141721530 + ... + 141799290.

It is an arithmetic number, because the mean of its divisors is an integer number (233273169270).

Almost surely, 211023431242010 is an apocalyptic number.

11023431242010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11023431242010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14929482833280).

11023431242010 is an abundant number, since it is smaller than the sum of its proper divisors (18835534424550).

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

11023431242010 is a wasteful number, since it uses less digits than its factorization.

11023431242010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92624.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11023431242010 its reverse (1024213432011), we get a palindrome (12047644674021).

The spelling of 11023431242010 in words is "eleven trillion, twenty-three billion, four hundred thirty-one million, two hundred forty-two thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 870 957 1595 1914 3190 4785 9570 14813 29626 44439 74065 77761 88878 148130 155522 162943 222195 233283 325886 388805 429577 444390 466566 488829 777610 814715 855371 859154 977658 1166415 1288731 1629430 1710742 2147885 2255069 2332830 2444145 2566113 2577462 4276855 4295770 4510138 4725347 4888290 5132226 6443655 6765207 8553710 9450694 11275345 12830565 12887310 13530414 14176041 22550690 23626735 24805759 25661130 28352082 33826035 47253470 49611518 67652070 70880205 74417277 124028795 141760410 148834554 248057590 372086385 744172770 1151873693 2303747386 3455621079 5759368465 6911242158 11518736930 12670610623 17278105395 25341221246 33404337097 34556210790 38011831869 63353053115 66808674194 76023663738 100213011291 126706106230 167021685485 190059159345 200426022582 334043370970 367447708067 380118318690 501065056455 734895416134 1002130112910 1102343124201 1837238540335 2204686248402 3674477080670 5511715621005 11023431242010