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1101221121132 = 22321129313093283
BaseRepresentation
bin10000000001100101111…
…001001100110001101100
310220021102222211011000100
4100001211321030301230
5121020300101334012
62201521034231100
7142363200041316
oct20014571146154
93807388734010
101101221121132
11395030683410
12159510885490
137cac9a86262
143b4297347b6
151d9a2cae8dc
hex10065e4cc6c

1101221121132 has 144 divisors (see below), whose sum is σ = 3242751482880. Its totient is φ = 311802825600.

The previous prime is 1101221121109. The next prime is 1101221121139. The reversal of 1101221121132 is 2311211221011.

It is a happy number.

It is a super-2 number, since 2×11012211211322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1101221121139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1190638 + ... + 1902645.

It is an arithmetic number, because the mean of its divisors is an integer number (22519107520).

Almost surely, 21101221121132 is an apocalyptic number.

1101221121132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1101221121132 is an abundant number, since it is smaller than the sum of its proper divisors (2141530361748).

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

1101221121132 is a wasteful number, since it uses less digits than its factorization.

1101221121132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093364 (or 3093359 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1101221121132 its reverse (2311211221011), we get a palindrome (3412432342143).

The spelling of 1101221121132 in words is "one trillion, one hundred one billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 31 33 36 44 58 62 66 87 93 99 116 124 132 174 186 198 261 279 319 341 348 372 396 522 558 638 682 899 957 1023 1044 1116 1276 1364 1798 1914 2046 2697 2871 3069 3596 3828 4092 5394 5742 6138 8091 9889 10788 11484 12276 16182 19778 29667 32364 39556 59334 89001 118668 178002 356004 3093283 6186566 9279849 12373132 18559698 27839547 34026113 37119396 55679094 68052226 89705207 95891773 102078339 111358188 136104452 179410414 191783546 204156678 269115621 287675319 306235017 358820828 383567092 408313356 538231242 575350638 612470034 807346863 863025957 986757277 1054809503 1076462484 1150701276 1224940068 1614693726 1726051914 1973514554 2109619006 2780861417 2960271831 3164428509 3229387452 3452103828 3947029108 4219238012 5561722834 5920543662 6328857018 8342584251 8880815493 9493285527 11123445668 11841087324 12657714036 16685168502 17761630986 18986571054 25027752753 30589475587 33370337004 35523261972 37973142108 50055505506 61178951174 91768426761 100111011012 122357902348 183536853522 275305280283 367073707044 550610560566 1101221121132