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1101011103232 = 29791011811489
BaseRepresentation
bin10000000001011001011…
…000000010111000000000
310220020220100122010121121
4100001121120002320000
5121014332320300412
62201444133002024
7142355036651245
oct20013130027000
93806810563547
101101011103232
11394a330788a7
12159472483314
137ca95402201
143b4098a55cc
151d98e627107
hex10059602e00

1101011103232 has 160 divisors (see below), whose sum is σ = 2263723862400. Its totient is φ = 534822912000.

The previous prime is 1101011103229. The next prime is 1101011103233. The reversal of 1101011103232 is 2323011101011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101011103233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 739429144 + ... + 739430632.

It is an arithmetic number, because the mean of its divisors is an integer number (14148274140).

Almost surely, 21101011103232 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 1101011103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131861931200).

1101011103232 is an abundant number, since it is smaller than the sum of its proper divisors (1162712759168).

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

1101011103232 is a wasteful number, since it uses less digits than its factorization.

1101011103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1101011103232 its reverse (2323011101011), we get a palindrome (3424022204243).

The spelling of 1101011103232 in words is "one trillion, one hundred one billion, eleven million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 79 101 128 158 181 202 256 316 362 404 512 632 724 808 1264 1448 1489 1616 2528 2896 2978 3232 5056 5792 5956 6464 7979 10112 11584 11912 12928 14299 15958 18281 20224 23168 23824 25856 28598 31916 36562 40448 46336 47648 51712 57196 63832 73124 92672 95296 114392 117631 127664 146248 150389 190592 228784 235262 255328 269509 292496 300778 381184 457568 470524 510656 539018 584992 601556 762368 915136 941048 1021312 1078036 1169984 1203112 1444199 1830272 1882096 2042624 2156072 2339968 2406224 2888398 3660544 3764192 4085248 4312144 4679936 4812448 5776796 7321088 7528384 8624288 9359872 9624896 11553592 11880731 15056768 17248576 19249792 21291211 23107184 23761462 27220409 30113536 34497152 38499584 42582422 46214368 47522924 54440818 60227072 68994304 76999168 85164844 92428736 95045848 108881636 137988608 170329688 184857472 190091696 217763272 340659376 369714944 380183392 435526544 681318752 739429888 760366784 871053088 1362637504 1520733568 1742106176 2150412311 2725275008 3041467136 3484212352 4300824622 5450550016 6082934272 6968424704 8601649244 10901100032 13936849408 17203298488 34406596976 68813193952 137626387904 275252775808 550505551616 1101011103232