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1132110101100 = 2235211379271991
BaseRepresentation
bin10000011110010111000…
…001010011101001101100
311000020011200212220122110
4100132113001103221230
5122022030141213400
62224030104244020
7144535513040436
oct20362701235154
94006150786573
101132110101100
113a7141702230
121634b1470610
13829b0386ab4
143cb19c6b656
151e6ae989e50
hex10797053a6c

1132110101100 has 144 divisors (see below), whose sum is σ = 3669928609536. Its totient is φ = 267033312000.

The previous prime is 1132110101041. The next prime is 1132110101113. The reversal of 1132110101100 is 11010112311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4513896 + ... + 4758095.

It is an arithmetic number, because the mean of its divisors is an integer number (25485615344).

Almost surely, 21132110101100 is an apocalyptic number.

1132110101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132110101100 is an abundant number, since it is smaller than the sum of its proper divisors (2537818508436).

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

1132110101100 is a wasteful number, since it uses less digits than its factorization.

1132110101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9272056 (or 9272049 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 1132110101100 its reverse (11010112311), we get a palindrome (1143120213411).

The spelling of 1132110101100 in words is "one trillion, one hundred thirty-two billion, one hundred ten million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 185 220 222 275 300 330 370 407 444 550 555 660 740 814 825 925 1100 1110 1221 1628 1650 1850 2035 2220 2442 2775 3300 3700 4070 4884 5550 6105 8140 10175 11100 12210 20350 24420 30525 40700 61050 122100 9271991 18543982 27815973 37087964 46359955 55631946 92719910 101991901 111263892 139079865 185439820 203983802 231799775 278159730 305975703 343063667 407967604 463599550 509959505 556319460 611951406 686127334 695399325 927199100 1019919010 1029191001 1223902812 1372254668 1390798650 1529878515 1715318335 2039838020 2058382002 2549797525 2781597300 3059757030 3430636670 3773700337 4116764004 5099595050 5145955005 6119514060 6861273340 7547400674 7649392575 8576591675 10199190100 10291910010 11321101011 15094801348 15298785150 17153183350 18868501685 20583820020 22642202022 25729775025 30597570300 34306366700 37737003370 45284404044 51459550050 56605505055 75474006740 94342508425 102919100100 113211010110 188685016850 226422020220 283027525275 377370033700 566055050550 1132110101100