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210020212020 = 2235167160713043
BaseRepresentation
bin1100001110011000101…
…1100001110100110100
3202002002200002012022010
43003212023201310310
511420110133241040
6240252034004220
721113332230063
oct3034613416464
9662080065263
10210020212020
1181083a30863
1234853416670
1316a60265408
14a244bc61da
1556e2ec5e80
hex30e62e1d34

210020212020 has 96 divisors (see below), whose sum is σ = 591991400448. Its totient is φ = 55631120512.

The previous prime is 210020212013. The next prime is 210020212037. The reversal of 210020212020 is 20212020012.

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 = 210020211987 and 210020212005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16095619 + ... + 16108661.

It is an arithmetic number, because the mean of its divisors is an integer number (6166577088).

Almost surely, 2210020212020 is an apocalyptic number.

210020212020 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 210020212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295995700224).

210020212020 is an abundant number, since it is smaller than the sum of its proper divisors (381971188428).

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

210020212020 is a wasteful number, since it uses less digits than its factorization.

210020212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14829 (or 14827 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 210020212020 its reverse (20212020012), we get a palindrome (230232232032).

The spelling of 210020212020 in words is "two hundred ten billion, twenty million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 501 668 835 1002 1607 1670 2004 2505 3214 3340 4821 5010 6428 8035 9642 10020 13043 16070 19284 24105 26086 32140 39129 48210 52172 65215 78258 96420 130430 156516 195645 260860 268369 391290 536738 782580 805107 1073476 1341845 1610214 2178181 2683690 3220428 4025535 4356362 5367380 6534543 8051070 8712724 10890905 13069086 16102140 20960101 21781810 26138172 32672715 41920202 43563620 62880303 65345430 83840404 104800505 125760606 130690860 209601010 251521212 314401515 419202020 628803030 1257606060 3500336867 7000673734 10501010601 14001347468 17501684335 21002021202 35003368670 42004042404 52505053005 70006737340 105010106010 210020212020