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1120032102 = 237219261173
BaseRepresentation
bin100001011000010…
…0101010101100110
32220001112112012110
41002300211111212
54243212011402
6303050101450
736520054500
oct10260452546
92801475173
101120032102
11525257772
1227311a886
1314b0758b7
14a8a74d70
15684e156c
hex42c25566

1120032102 has 144 divisors (see below), whose sum is σ = 2811395952. Its totient is φ = 296472960.

The previous prime is 1120032073. The next prime is 1120032149. The reversal of 1120032102 is 2012300211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6474088 + ... + 6474260.

It is an arithmetic number, because the mean of its divisors is an integer number (19523583).

Almost surely, 21120032102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120032102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405697976).

1120032102 is an abundant number, since it is smaller than the sum of its proper divisors (1691363850).

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

1120032102 is a wasteful number, since it uses less digits than its factorization.

1120032102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1120032102 is about 33466.8806732865. The cubic root of 1120032102 is about 1038.5087422662.

Adding to 1120032102 its reverse (2012300211), we get a palindrome (3132332313).

The spelling of 1120032102 in words is "one billion, one hundred twenty million, thirty-two thousand, one hundred two".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 61 98 114 122 133 147 173 183 266 294 346 361 366 399 427 519 722 798 854 931 1038 1083 1159 1211 1281 1862 2166 2318 2422 2527 2562 2793 2989 3287 3477 3633 5054 5586 5978 6574 6954 7266 7581 8113 8477 8967 9861 10553 15162 16226 16954 17689 17934 19722 21106 22021 23009 24339 25431 31659 35378 44042 46018 48678 50862 53067 56791 62453 63318 66063 69027 73871 106134 113582 124906 132126 138054 147742 154147 161063 170373 187359 200507 221613 308294 322126 340746 374718 401014 437171 443226 462441 483189 517097 601521 874342 924882 966378 1034194 1079029 1203042 1311513 1403549 1551291 2158058 2623026 2807098 3060197 3102582 3237087 3809633 4210647 6120394 6474174 7619266 8421294 9180591 9824843 11428899 18361182 19649686 22857798 26667431 29474529 53334862 58949058 80002293 160004586 186672017 373344034 560016051 1120032102