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1120102032 = 243729139827
BaseRepresentation
bin100001011000011…
…0110011010010000
32220001200002010110
41002300312122100
54243221231112
6303051401320
736520465410
oct10260663220
92801602113
101120102032
115252a5265
12273153240
1314b09b68a
14a8a92640
156850713c
hex42c36690

1120102032 has 160 divisors (see below), whose sum is σ = 3449779200. Its totient is φ = 306399744.

The previous prime is 1120101977. The next prime is 1120102033. The reversal of 1120102032 is 2302010211.

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

It is a junction number, because it is equal to n+sod(n) for n = 1120101999 and 1120102017.

It is not an unprimeable number, because it can be changed into a prime (1120102033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1354003 + ... + 1354829.

It is an arithmetic number, because the mean of its divisors is an integer number (21561120).

Almost surely, 21120102032 is an apocalyptic number.

1120102032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724889600).

1120102032 is an abundant number, since it is smaller than the sum of its proper divisors (2329677168).

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

1120102032 is a wasteful number, since it uses less digits than its factorization.

1120102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1007 counting only the distinct ones).

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

The square root of 1120102032 is about 33467.9254212149. The cubic root of 1120102032 is about 1038.5303551601.

Adding to 1120102032 its reverse (2302010211), we get a palindrome (3422112243).

The spelling of 1120102032 in words is "one billion, one hundred twenty million, one hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 139 168 174 203 232 278 336 348 406 417 464 556 609 696 812 827 834 973 1112 1218 1392 1624 1654 1668 1946 2224 2436 2481 2919 3248 3308 3336 3892 4031 4872 4962 5789 5838 6616 6672 7784 8062 9744 9924 11578 11676 12093 13232 15568 16124 17367 19848 23156 23352 23983 24186 28217 32248 34734 39696 46312 46704 47966 48372 56434 64496 69468 71949 84651 92624 95932 96744 112868 114953 138936 143898 167881 169302 191864 193488 225736 229906 277872 287796 335762 338604 344859 383728 451472 459812 503643 575592 671524 677208 689718 804671 919624 1007286 1151184 1343048 1354416 1379436 1609342 1839248 2014572 2414013 2686096 2758872 3218684 3333637 4029144 4828026 5517744 6437368 6667274 8058288 9656052 10000911 12874736 13334548 19312104 20001822 23335459 26669096 38624208 40003644 46670918 53338192 70006377 80007288 93341836 140012754 160014576 186683672 280025508 373367344 560051016 1120102032