Search a number
-
+
210320101420 = 2251113563130619
BaseRepresentation
bin1100001111100000001…
…1100001000000101100
3202002212120101011012221
43003320003201000230
511421213421221140
6240341505405124
721123633236152
oct3037003410054
9662776334187
10210320101420
118121823a140
12349179397a4
1316aaa424a70
14a27296b3d2
15570e4b214a
hex30f80e102c

210320101420 has 96 divisors (see below), whose sum is σ = 519813262080. Its totient is φ = 70471023360.

The previous prime is 210320101417. The next prime is 210320101421. The reversal of 210320101420 is 24101023012.

It is a super-2 number, since 2×2103201014202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210320101394 and 210320101403.

It is not an unprimeable number, because it can be changed into a prime (210320101421) 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, 1544871 + ... + 1675489.

It is an arithmetic number, because the mean of its divisors is an integer number (5414721480).

Almost surely, 2210320101420 is an apocalyptic number.

210320101420 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 210320101420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259906631040).

210320101420 is an abundant number, since it is smaller than the sum of its proper divisors (309493160660).

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

210320101420 is a wasteful number, since it uses less digits than its factorization.

210320101420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131215 (or 131213 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 210320101420 its reverse (24101023012), we get a palindrome (234421124432).

The spelling of 210320101420 in words is "two hundred ten billion, three hundred twenty million, one hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 563 572 715 1126 1430 2252 2815 2860 5630 6193 7319 11260 12386 14638 24772 29276 30965 36595 61930 73190 80509 123860 130619 146380 161018 261238 322036 402545 522476 653095 805090 1306190 1436809 1610180 1698047 2612380 2873618 3396094 5747236 6792188 7184045 8490235 14368090 16980470 18678517 28736180 33960940 37357034 73538497 74714068 93392585 147076994 186785170 294153988 367692485 373570340 735384970 808923467 956000461 1470769940 1617846934 1912000922 3235693868 3824001844 4044617335 4780002305 8089234670 9560004610 10516005071 16178469340 19120009220 21032010142 42064020284 52580025355 105160050710 210320101420