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212020012100 = 225213298596547
BaseRepresentation
bin1100010101110101100…
…0001010010001000100
3202021021001001120021202
43011131120022101010
511433204110341400
6241222312402032
721214024240031
oct3053530122104
9667231046252
10212020012100
1181a0a8511a6
12351110a6318
1316cbb66c780
14a39462c388
1557ad8494d5
hex315d60a444

212020012100 has 144 divisors (see below), whose sum is σ = 513234859200. Its totient is φ = 75485329920.

The previous prime is 212020012079. The next prime is 212020012121. The reversal of 212020012100 is 1210020212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212020012079) and next prime (212020012121).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32381027 + ... + 32387573.

Almost surely, 2212020012100 is an apocalyptic number.

212020012100 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 212020012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256617429600).

212020012100 is an abundant number, since it is smaller than the sum of its proper divisors (301214847100).

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

212020012100 is a wasteful number, since it uses less digits than its factorization.

212020012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7462 (or 7455 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212020012100 its reverse (1210020212), we get a palindrome (213230032312).

The spelling of 212020012100 in words is "two hundred twelve billion, twenty million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 29 50 52 58 65 100 116 130 145 260 290 325 377 580 650 725 754 859 1300 1450 1508 1718 1885 2900 3436 3770 4295 6547 7540 8590 9425 11167 13094 17180 18850 21475 22334 24911 26188 32735 37700 42950 44668 49822 55835 65470 85111 85900 99644 111670 124555 130940 163675 170222 189863 223340 249110 279175 323843 327350 340444 379726 425555 498220 558350 622775 647686 654700 759452 851110 949315 1116700 1245550 1295372 1619215 1702220 1898630 2127775 2468219 2491100 3238430 3797260 4255550 4746575 4936438 5623873 6476860 8096075 8511100 9493150 9872876 11247746 12341095 16192150 18986300 22495492 24682190 28119365 32384300 49364380 56238730 61705475 73110349 112477460 123410950 140596825 146220698 163092317 246821900 281193650 292441396 326184634 365551745 562387300 652369268 731103490 815461585 1462206980 1630923170 1827758725 2120200121 3261846340 3655517450 4077307925 4240400242 7311034900 8154615850 8480800484 10601000605 16309231700 21202001210 42404002420 53005003025 106010006050 212020012100