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11029212001104 = 24311136537152989
BaseRepresentation
bin1010000001111111000001…
…0000110111001101010000
31110001101022202012002102020
42200133300100313031100
52421200311233013404
635242430002051440
72215556104121313
oct240376020671520
943041282162366
1011029212001104
11357250a709790
1212a1650949b80
136200864788cb
142a1b6109a97a
15141d6602bed9
hexa07f0437350

11029212001104 has 80 divisors (see below), whose sum is σ = 31082755546560. Its totient is φ = 3342139130880.

The previous prime is 11029212001091. The next prime is 11029212001109. The reversal of 11029212001104 is 40110021292011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11029212001109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72015042 + ... + 72168030.

It is an arithmetic number, because the mean of its divisors is an integer number (388534444332).

Almost surely, 211029212001104 is an apocalyptic number.

It is an amenable number.

11029212001104 is an abundant number, since it is smaller than the sum of its proper divisors (20053543545456).

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

11029212001104 is a wasteful number, since it uses less digits than its factorization.

11029212001104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289548 (or 289542 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 11029212001104 its reverse (40110021292011), we get a palindrome (51139233293115).

The spelling of 11029212001104 in words is "eleven trillion, twenty-nine billion, two hundred twelve million, one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 136537 152989 273074 305978 409611 458967 546148 611956 819222 917934 1092296 1223912 1501907 1638444 1682879 1835868 2184592 2447824 3003814 3276888 3365758 3671736 4505721 5048637 6007628 6553776 6731516 7343472 9011442 10097274 12015256 13463032 18022884 20194548 24030512 26926064 36045768 40389096 72091536 80778192 20888659093 41777318186 62665977279 83554636372 125331954558 167109272744 229775250023 250663909116 334218545488 459550500046 501327818232 689325750069 919101000092 1002655636464 1378651500138 1838202000184 2757303000276 3676404000368 5514606000552 11029212001104