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32302420020 = 223251321061881
BaseRepresentation
bin11110000101010111…
…111101000000110100
310002101012200221212200
4132011113331000310
51012123404420040
622501200544500
72222325016443
oct360527750064
9102335627780
1032302420020
11127769682a2
126316022130
13307a3a6900
1417c6146d5a
15c90d27630
hex7855fd034

32302420020 has 108 divisors (see below), whose sum is σ = 106101125676. Its totient is φ = 7951357440.

The previous prime is 32302419997. The next prime is 32302420039. The reversal of 32302420020 is 2002420323.

It can be written as a sum of positive squares in 6 ways, for example, as 7118634384 + 25183785636 = 84372^2 + 158694^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32302419975 and 32302420002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 500521 + ... + 561360.

Almost surely, 232302420020 is an apocalyptic number.

32302420020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32302420020 is an abundant number, since it is smaller than the sum of its proper divisors (73798705656).

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

32302420020 is a wasteful number, since it uses less digits than its factorization.

32302420020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061922 (or 1061904 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 32302420020 its reverse (2002420323), we get a palindrome (34304840343).

The spelling of 32302420020 in words is "thirty-two billion, three hundred two million, four hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 169 180 195 234 260 338 390 468 507 585 676 780 845 1014 1170 1521 1690 2028 2340 2535 3042 3380 5070 6084 7605 10140 15210 30420 1061881 2123762 3185643 4247524 5309405 6371286 9556929 10618810 12742572 13804453 15928215 19113858 21237620 27608906 31856430 38227716 41413359 47784645 55217812 63712860 69022265 82826718 95569290 124240077 138044530 165653436 179457889 191138580 207066795 248480154 276089060 358915778 414133590 496960308 538373667 621200385 717831556 828267180 897289445 1076747334 1242400770 1615121001 1794578890 2153494668 2484801540 2691868335 3230242002 3589157780 5383736670 6460484004 8075605005 10767473340 16151210010 32302420020