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1020200209974 = 233112347449963
BaseRepresentation
bin11101101100010001010…
…10111100111000110110
310121112022111200102012000
432312020222330320312
5113203332223204344
62100401251040130
7133464340463331
oct16661052747066
93545274612160
101020200209974
11363734470700
1214587aba0046
13752872a21ca
1437541167618
151b80ed7da69
hexed88abce36

1020200209974 has 96 divisors (see below), whose sum is σ = 2499136053120. Its totient is φ = 308259966960.

The previous prime is 1020200209961. The next prime is 1020200209981. The reversal of 1020200209974 is 4799020020201.

It is a congruent number.

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, 2042317 + ... + 2492279.

It is an arithmetic number, because the mean of its divisors is an integer number (26032667220).

Almost surely, 21020200209974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020200209974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249568026560).

1020200209974 is an abundant number, since it is smaller than the sum of its proper divisors (1478935843146).

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

1020200209974 is a wasteful number, since it uses less digits than its factorization.

1020200209974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450343 (or 450326 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 1020200209974 in words is "one trillion, twenty billion, two hundred million, two hundred nine thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 347 363 594 694 726 1041 1089 2082 2178 3123 3267 3817 6246 6534 7634 9369 11451 18738 22902 34353 41987 68706 83974 103059 125961 206118 251922 377883 449963 755766 899926 1133649 1349889 2267298 2699778 4049667 4949593 8099334 9899186 12149001 14848779 24298002 29697558 44546337 54445523 89092674 108891046 133639011 156137161 163336569 267278022 312274322 326673138 468411483 490009707 936822966 980019414 1405234449 1470029121 1717508771 2810468898 2940058242 3435017542 4215703347 5152526313 8431406694 10305052626 15457578939 18892596481 30915157878 37785192962 46372736817 56677789443 92745473634 113355578886 170033368329 340066736658 510100104987 1020200209974