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20000330032232 = 231117471663171047
BaseRepresentation
bin1001000110000101100001…
…00100010010010001101000
32121211000100101110212202202
410203002300210102101220
510110141133442012412
6110312005203515332
74132655552162654
oct443026044222150
977730311425682
1020000330032232
116411101994150
1222b0246088b48
13b2103b798394
144d204200ba64
1524a3c3d283c2
hex1230b0912468

20000330032232 has 128 divisors (see below), whose sum is σ = 44264704573440. Its totient is φ = 8369157626880.

The previous prime is 20000330032211. The next prime is 20000330032253. The reversal of 20000330032232 is 23223003300002.

It is an interprime number because it is at equal distance from previous prime (20000330032211) and next prime (20000330032253).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116843333 + ... + 117014379.

It is an arithmetic number, because the mean of its divisors is an integer number (345818004480).

Almost surely, 220000330032232 is an apocalyptic number.

20000330032232 is a gapful number since it is divisible by the number (22) 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 20000330032232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22132352286720).

20000330032232 is an abundant number, since it is smaller than the sum of its proper divisors (24264374541208).

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

20000330032232 is a wasteful number, since it uses less digits than its factorization.

20000330032232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172791 (or 172787 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 20000330032232 its reverse (23223003300002), we get a palindrome (43223333332234).

The spelling of 20000330032232 in words is "twenty trillion, three hundred thirty million, thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 17 22 34 44 47 68 88 94 136 187 188 374 376 517 748 799 1034 1496 1598 1663 2068 3196 3326 4136 6392 6652 8789 13304 17578 18293 28271 35156 36586 56542 70312 73172 78161 113084 146344 156322 171047 226168 310981 312644 342094 621962 625288 684188 859771 1243924 1328737 1368376 1719542 1881517 2487848 2657474 2907799 3439084 3763034 5314948 5815598 6878168 7526068 8039209 10629896 11631196 14616107 15052136 16078418 23262392 29232214 31985789 32156836 58464428 63971578 64313672 88431299 116928856 127943156 136666553 176862598 255886312 273333106 284451161 353725196 546666212 568902322 707450392 1093332424 1137804644 1503332083 2275609288 3006664166 3128962771 4835669737 6013328332 6257925542 9671339474 12026656664 12515851084 13369204567 19342678948 25031702168 26738409134 38685357896 53192367107 53476818268 106384734214 106953636536 147061250237 212769468428 227276477639 294122500474 425538936856 454552955278 588245000948 909105910556 1176490001896 1818211821112 2500041254029 5000082508058 10000165016116 20000330032232