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20210101320 = 23359715711059
BaseRepresentation
bin10010110100100111…
…011010110001001000
31221011110212112002010
4102310213122301020
5312342241220240
613141232335520
71313553012123
oct226447326110
957143775063
1020210101320
118631091282
123b003a45a0
131ba108a946
14d9a1773ba
157d441d280
hex4b49dac48

20210101320 has 128 divisors (see below), whose sum is σ = 61651094400. Its totient is φ = 5299347456.

The previous prime is 20210101309. The next prime is 20210101321. The reversal of 20210101320 is 2310101202.

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 = 20210101296 and 20210101305.

It is not an unprimeable number, because it can be changed into a prime (20210101321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1821951 + ... + 1833009.

It is an arithmetic number, because the mean of its divisors is an integer number (481649175).

Almost surely, 220210101320 is an apocalyptic number.

20210101320 is a gapful number since it is divisible by the number (20) 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 20210101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30825547200).

20210101320 is an abundant number, since it is smaller than the sum of its proper divisors (41440993080).

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

20210101320 is a wasteful number, since it uses less digits than its factorization.

20210101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11327 (or 11323 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20210101320 its reverse (2310101202), we get a palindrome (22520202522).

The spelling of 20210101320 in words is "twenty billion, two hundred ten million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 157 194 291 314 388 471 485 582 628 776 785 942 970 1164 1256 1455 1570 1884 1940 2328 2355 2910 3140 3768 3880 4710 5820 6280 9420 11059 11640 15229 18840 22118 30458 33177 44236 45687 55295 60916 66354 76145 88472 91374 110590 121832 132708 152290 165885 182748 221180 228435 265416 304580 331770 365496 442360 456870 609160 663540 913740 1072723 1327080 1736263 1827480 2145446 3218169 3472526 4290892 5208789 5363615 6436338 6945052 8581784 8681315 10417578 10727230 12872676 13890104 16090845 17362630 20835156 21454460 25745352 26043945 32181690 34725260 41670312 42908920 52087890 64363380 69450520 104175780 128726760 168417511 208351560 336835022 505252533 673670044 842087555 1010505066 1347340088 1684175110 2021010132 2526262665 3368350220 4042020264 5052525330 6736700440 10105050660 20210101320