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210100211020 = 225743912312777
BaseRepresentation
bin1100001110101011110…
…0101100110101001100
3202002022020121120022001
43003222330230311030
511420241123223040
6240304012402044
721115323220240
oct3035274546514
9662266546261
10210100211020
1181115101237
1234876176324
1316a739c51bb
14a25168c420
1556ea02959a
hex30eaf2cd4c

210100211020 has 96 divisors (see below), whose sum is σ = 505981808640. Its totient is φ = 71786027520.

The previous prime is 210100211011. The next prime is 210100211033. The reversal of 210100211020 is 20112001012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 210100210988 and 210100211006.

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, 75655872 + ... + 75658648.

It is an arithmetic number, because the mean of its divisors is an integer number (5270643840).

Almost surely, 2210100211020 is an apocalyptic number.

210100211020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210100211020 is an abundant number, since it is smaller than the sum of its proper divisors (295881597620).

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

210100211020 is a wasteful number, since it uses less digits than its factorization.

210100211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4463 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 210100211020 its reverse (20112001012), we get a palindrome (230212212032).

The spelling of 210100211020 in words is "two hundred ten billion, one hundred million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 439 878 1231 1756 2195 2462 2777 3073 4390 4924 5554 6146 6155 8617 8780 11108 12292 12310 13885 15365 17234 19439 24620 27770 30730 34468 38878 43085 55540 61460 77756 86170 97195 172340 194390 388780 540409 1080818 1219103 2161636 2438206 2702045 3418487 3782863 4876412 5404090 6095515 6836974 7565726 8533721 10808180 12191030 13673948 15131452 17067442 17092435 18914315 23929409 24382060 34134884 34184870 37828630 42668605 47858818 68369740 75657260 85337210 95717636 119647045 170674420 239294090 478588180 1500715793 3001431586 6002863172 7503578965 10505010551 15007157930 21010021102 30014315860 42020042204 52525052755 105050105510 210100211020