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10132020213320 = 2353127412981023
BaseRepresentation
bin1001001101110000101101…
…1101110011011001001000
31022212121111220112222010202
42103130023131303121020
52312000334133311240
633314330312231332
72064004622551355
oct223341335633110
938777456488122
1010132020213320
113256a692a6335
1211777a109b548
135865a3733945
1427056ca3562c
1512885530d315
hex9370b773648

10132020213320 has 64 divisors (see below), whose sum is σ = 23541027287040. Its totient is φ = 3920640134400.

The previous prime is 10132020213277. The next prime is 10132020213397. The reversal of 10132020213320 is 2331202023101.

10132020213320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10132020213292 and 10132020213301.

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, 1908329 + ... + 4889351.

It is an arithmetic number, because the mean of its divisors is an integer number (367828551360).

Almost surely, 210132020213320 is an apocalyptic number.

10132020213320 is a gapful number since it is divisible by the number (10) 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 10132020213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11770513643520).

10132020213320 is an abundant number, since it is smaller than the sum of its proper divisors (13409007073720).

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

10132020213320 is a wasteful number, since it uses less digits than its factorization.

10132020213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983806 (or 2983802 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10132020213320 its reverse (2331202023101), we get a palindrome (12463222236421).

The spelling of 10132020213320 in words is "ten trillion, one hundred thirty-two billion, twenty million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 2741 5482 10964 13705 21928 27410 54820 84971 109640 169942 339884 424855 679768 849710 1699420 2981023 3398840 5962046 11924092 14905115 23848184 29810230 59620460 92411713 119240920 184823426 369646852 462058565 739293704 924117130 1848234260 3696468520 8170984043 16341968086 32683936172 40854920215 65367872344 81709840430 163419680860 253300505333 326839361720 506601010666 1013202021332 1266502526665 2026404042664 2533005053330 5066010106660 10132020213320