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20300002032 = 24323157117119
BaseRepresentation
bin10010111001111110…
…010111001011110000
31221101202000221200010
4102321332113023300
5313033300031112
613154203254520
71316024112252
oct227176271360
957352027603
1020300002032
118677904a92
123b2651a440
131bb68a662b
14da8099cd2
157dc27a63c
hex4b9f972f0

20300002032 has 80 divisors (see below), whose sum is σ = 55070760960. Its totient is φ = 6431183616.

The previous prime is 20300002007. The next prime is 20300002043. The reversal of 20300002032 is 23020000302.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20300001999 and 20300002017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114769 + ... + 231887.

It is an arithmetic number, because the mean of its divisors is an integer number (688384512).

Almost surely, 220300002032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20300002032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27535380480).

20300002032 is an abundant number, since it is smaller than the sum of its proper divisors (34770758928).

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

20300002032 is a wasteful number, since it uses less digits than its factorization.

20300002032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117310 (or 117304 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 20300002032 its reverse (23020000302), we get a palindrome (43320002334).

The spelling of 20300002032 in words is "twenty billion, three hundred million, two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 157 184 276 314 368 471 552 628 942 1104 1256 1884 2512 3611 3768 7222 7536 10833 14444 21666 28888 43332 57776 86664 117119 173328 234238 351357 468476 702714 936952 1405428 1873904 2693737 2810856 5387474 5621712 8081211 10774948 16162422 18387683 21549896 32324844 36775366 43099792 55163049 64649688 73550732 110326098 129299376 147101464 220652196 294202928 422916709 441304392 845833418 882608784 1268750127 1691666836 2537500254 3383333672 5075000508 6766667344 10150001016 20300002032