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1012020332202 = 2331126312175323
BaseRepresentation
bin11101011101000010001…
…11001100011010101010
310120202012102210120101000
432232201013030122222
5113040104201112302
62052525443535430
7133054543614225
oct16564107143252
93522172716330
101012020332202
11360217104440
1214417768a576
13745826cba49
1436da6a385bc
151b4d1ba131c
hexeba11cc6aa

1012020332202 has 128 divisors (see below), whose sum is σ = 2465197701120. Its totient is φ = 305198392320.

The previous prime is 1012020332173. The next prime is 1012020332203. The reversal of 1012020332202 is 2022330202101.

1012020332202 is a `hidden beast` number, since 10 + 120 + 2 + 0 + 332 + 202 = 666.

1012020332202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (1012020332203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190119513 + ... + 190124835.

It is an arithmetic number, because the mean of its divisors is an integer number (19259357040).

Almost surely, 21012020332202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012020332202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232598850560).

1012020332202 is an abundant number, since it is smaller than the sum of its proper divisors (1453177368918).

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

1012020332202 is a wasteful number, since it uses less digits than its factorization.

1012020332202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6825 (or 6819 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1012020332202 its reverse (2022330202101), we get a palindrome (3034350534303).

The spelling of 1012020332202 in words is "one trillion, twelve billion, twenty million, three hundred thirty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 263 297 526 594 789 1217 1578 2367 2434 2893 3651 4734 5323 5786 7101 7302 8679 10646 10953 13387 14202 15969 17358 21906 26037 26774 31938 32859 40161 47907 52074 58553 65718 78111 80322 95814 117106 120483 143721 156222 175659 240966 287442 320071 351318 361449 526977 640142 722898 960213 1053954 1399949 1580931 1920426 2799898 2880639 3161862 3520781 4199847 5761278 6478091 7041562 8399694 8641917 10562343 12599541 12956182 15399439 17283834 19434273 21124686 25199082 30798878 31687029 37798623 38868546 46198317 58302819 63374058 71259001 75597246 92396634 95061087 116605638 138594951 142518002 174908457 190122174 213777003 277189902 349816914 415784853 427554006 641331009 831569706 1282662018 1703737933 1923993027 3407475866 3847986054 5111213799 10222427598 15333641397 18741117263 30667282794 37482234526 46000924191 56223351789 92001848382 112446703578 168670055367 337340110734 506010166101 1012020332202