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210202200120 = 233511159244091
BaseRepresentation
bin1100001111000100000…
…1110000100000111000
3202002120100112011001010
43003301001300200320
511420443230400440
6240322054353520
721121002135453
oct3036101604070
9662510464033
10210202200120
1181167731150
12348a435b8a0
1316a8bb84193
14a26103a49a
155703e73580
hex30f1070838

210202200120 has 64 divisors (see below), whose sum is σ = 687934477440. Its totient is φ = 50958108800.

The previous prime is 210202200107. The next prime is 210202200179. The reversal of 210202200120 is 21002202012.

It is a super-3 number, since 3×2102022001203 (a number of 35 digits) contains 333 as substring.

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 = 210202200096 and 210202200105.

It is a congruent number.

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, 79620726 + ... + 79623365.

It is an arithmetic number, because the mean of its divisors is an integer number (10748976210).

Almost surely, 2210202200120 is an apocalyptic number.

210202200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210202200120 is an abundant number, since it is smaller than the sum of its proper divisors (477732277320).

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

210202200120 is a wasteful number, since it uses less digits than its factorization.

210202200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159244116 (or 159244112 counting only the distinct ones).

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

Adding to 210202200120 its reverse (21002202012), we get a palindrome (231204402132).

The spelling of 210202200120 in words is "two hundred ten billion, two hundred two million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 159244091 318488182 477732273 636976364 796220455 955464546 1273952728 1592440910 1751685001 1910929092 2388661365 3184881820 3503370002 3821858184 4777322730 5255055003 6369763640 7006740004 8758425005 9554645460 10510110006 14013480008 17516850010 19109290920 21020220012 26275275015 35033700020 42040440024 52550550030 70067400040 105101100060 210202200120