Search a number
-
+
20701210700 = 22521492296067
BaseRepresentation
bin10011010001111000…
…110110100001001100
31222102200222110111102
4103101320312201030
5314344002220300
613302054442232
71331665246652
oct232170664114
958380873442
1020701210700
118863325aa5
124018963378
131c4ba4c101
141005496dd2
158125cc0d5
hex4d1e3684c

20701210700 has 72 divisors (see below), whose sum is σ = 45428082000. Its totient is φ = 8187644160.

The previous prime is 20701210669. The next prime is 20701210723. The reversal of 20701210700 is 701210702.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3409067 + ... + 3415133.

Almost surely, 220701210700 is an apocalyptic number.

20701210700 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 20701210700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22714041000).

20701210700 is an abundant number, since it is smaller than the sum of its proper divisors (24726871300).

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

20701210700 is a wasteful number, since it uses less digits than its factorization.

20701210700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6459 (or 6452 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 20.

It can be divided in two parts, 207012 and 10700, that added together give a palindrome (217712).

The spelling of 20701210700 in words is "twenty billion, seven hundred one million, two hundred ten thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 229 298 458 596 745 916 1145 1490 2290 2980 3725 4580 5725 6067 7450 11450 12134 14900 22900 24268 30335 34121 60670 68242 121340 136484 151675 170605 303350 341210 606700 682420 853025 903983 1389343 1706050 1807966 2778686 3412100 3615932 4519915 5557372 6946715 9039830 13893430 18079660 22599575 27786860 34733575 45199150 69467150 90398300 138934300 207012107 414024214 828048428 1035060535 2070121070 4140242140 5175302675 10350605350 20701210700