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110112002303331 = 37311733175415701
BaseRepresentation
bin11001000010010101110010…
…110010000110010101100011
3112102212121022202122022021210
4121002111302302012111203
5103413033340042201311
61030104431105521203
732123221031424210
oct3102256262062543
9472777282568253
10110112002303331
11320a3268760446
121042453a943203
134959695570c22
141d2964101cb07
15cae3ec4c53a6
hex642572c86563

110112002303331 has 128 divisors (see below), whose sum is σ = 175106724544512. Its totient is φ = 60226364160000.

The previous prime is 110112002303323. The next prime is 110112002303351. The reversal of 110112002303331 is 133303200211011.

It is a happy number.

It is not a de Polignac number, because 110112002303331 - 23 = 110112002303323 is a prime.

It is a super-2 number, since 2×1101120023033312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 110112002303298 and 110112002303307.

It is not an unprimeable number, because it can be changed into a prime (110112002303321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19314503781 + ... + 19314509481.

It is an arithmetic number, because the mean of its divisors is an integer number (1368021285504).

Almost surely, 2110112002303331 is an apocalyptic number.

110112002303331 is a deficient number, since it is larger than the sum of its proper divisors (64994722241181).

110112002303331 is a wasteful number, since it uses less digits than its factorization.

110112002303331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6773.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 110112002303331 its reverse (133303200211011), we get a palindrome (243415202514342).

The spelling of 110112002303331 in words is "one hundred ten trillion, one hundred twelve billion, two million, three hundred three thousand, three hundred thirty-one".

Divisors: 1 3 7 21 31 93 173 217 317 519 541 651 951 1211 1623 2219 3633 3787 5363 5701 6657 9827 11361 16089 16771 17103 29481 37541 39907 50313 54841 68789 93593 112623 117397 119721 164523 171497 176731 206367 280779 352191 383887 514491 530193 655151 986273 1151661 1200479 1237117 1700071 1807217 1965453 2901383 2958819 3084241 3601437 3711351 5100213 5316407 5421651 6903911 8704149 9252723 11900497 12650519 15949221 20309681 20711733 21589687 29668981 30574463 35701491 37214849 37951557 56023727 60929043 64769061 89006943 91723389 95611471 111644547 168071181 207682867 214021241 286834413 312648541 392166089 533573693 623048601 642063723 669280297 919738411 937945623 977704397 1176498267 1600721079 2007840891 2188539787 2759215233 2933113191 3735015851 6438168877 6565619361 6843930779 9692104771 11205047553 16540784483 19314506631 20531792337 29076314313 30308836307 49622353449 67844733397 90926508921 115785491381 169142860681 203534200191 212161854149 347356474143 507428582043 636485562447 1184000024767 3552000074301 5243428681111 15730286043333 36704000767777 110112002303331