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1020332011524 = 2237237130335993
BaseRepresentation
bin11101101100100001000…
…01101111000000000100
310121112122200200121220220
432312100201233000010
5113204114443332044
62100422320024340
7133500530666400
oct16662041570004
93545580617826
101020332011524
113637a1903101
121458b71620b0
13752a869b9a7
1437554876100
151b81b716019
hexed9086f004

1020332011524 has 144 divisors (see below), whose sum is σ = 2846585202048. Its totient is φ = 283418860032.

The previous prime is 1020332011499. The next prime is 1020332011537. The reversal of 1020332011524 is 4251102330201.

It is a super-2 number, since 2×10203320115242 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020332011494 and 1020332011503.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28330072 + ... + 28366064.

It is an arithmetic number, because the mean of its divisors is an integer number (19767952792).

Almost surely, 21020332011524 is an apocalyptic number.

1020332011524 is a gapful number since it is divisible by the number (14) 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 1020332011524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423292601024).

1020332011524 is an abundant number, since it is smaller than the sum of its proper divisors (1826253190524).

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

1020332011524 is a wasteful number, since it uses less digits than its factorization.

1020332011524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37354 (or 37345 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 1020332011524 its reverse (4251102330201), we get a palindrome (5271434341725).

The spelling of 1020332011524 in words is "one trillion, twenty billion, three hundred thirty-two million, eleven thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 49 74 84 98 111 147 148 196 222 259 294 444 518 588 777 1036 1303 1554 1813 2606 3108 3626 3909 5212 5439 7252 7818 9121 10878 15636 18242 21756 27363 35993 36484 48211 54726 63847 71986 96422 107979 109452 127694 143972 144633 191541 192844 215958 251951 255388 289266 337477 383082 431916 503902 578532 674954 755853 766164 1007804 1012431 1331741 1349908 1511706 1763657 2024862 2362339 2663482 3023412 3527314 3995223 4049724 4724678 5290971 5326964 7054628 7087017 7990446 9322187 9449356 10581942 14174034 15980892 18644374 21163884 27966561 28348068 37288748 46898879 55933122 65255309 93797758 111866244 130510618 140696637 187595516 195765927 261021236 281393274 328292153 391531854 562786548 656584306 783063708 984876459 1313168612 1735258523 1969752918 2298045071 3470517046 3939505836 4596090142 5205775569 6894135213 6941034092 9192180284 10411551138 12146809661 13788270426 20823102276 24293619322 27576540852 36440428983 48587238644 72880857966 85027667627 145761715932 170055335254 255083002881 340110670508 510166005762 1020332011524