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1120010101098 = 2372127122324527
BaseRepresentation
bin10000010011000101110…
…011011110000101101010
310222001221102121020002020
4100103011303132011222
5121322240041213343
62214305303245310
7143626615531500
oct20230563360552
93861842536066
101120010101098
113a1aa255a129
12161095149836
13818025ab795
143c2ccc5c670
151e202564b83
hex104c5cde16a

1120010101098 has 96 divisors (see below), whose sum is σ = 2628509958144. Its totient is φ = 317210650848.

The previous prime is 1120010101087. The next prime is 1120010101103. The reversal of 1120010101098 is 8901010100211.

It is a super-3 number, since 3×11200101010983 (a number of 37 digits) contains 333 as substring.

It is a Curzon number.

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, 45652111 + ... + 45676637.

It is an arithmetic number, because the mean of its divisors is an integer number (27380312064).

Almost surely, 21120010101098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120010101098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314254979072).

1120010101098 is an abundant number, since it is smaller than the sum of its proper divisors (1508499857046).

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

1120010101098 is a wasteful number, since it uses less digits than its factorization.

1120010101098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25896 (or 25889 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 24.

The spelling of 1120010101098 in words is "one trillion, one hundred twenty billion, ten million, one hundred one thousand, ninety-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 127 147 254 294 381 762 889 1223 1778 2446 2667 3669 5334 6223 7338 8561 12446 17122 18669 24527 25683 37338 49054 51366 59927 73581 119854 147162 155321 171689 179781 310642 343378 359562 465963 515067 931926 1030134 1087247 1201823 2174494 2403646 3114929 3261741 3605469 6229858 6523482 7210938 7610729 9344787 15221458 18689574 21804503 22832187 29996521 43609006 45664374 59993042 65413509 89989563 130827018 152631521 179979126 209975647 305263042 419951294 457894563 629926941 915789126 1259853882 1469829529 2939659058 3809558167 4409488587 7619116334 8818977174 11428674501 22857349002 26666907169 53333814338 80000721507 160001443014 186668350183 373336700366 560005050549 1120010101098