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212020033000 = 23533075031373
BaseRepresentation
bin1100010101110101100…
…0001111010111101000
3202021021001002121221211
43011131120033113220
511433204112024000
6241222313042504
721214024354666
oct3053530172750
9667231077854
10212020033000
1181a0a865976
12351110b6434
1316cbb679139
14a394635c36
1557ad8507ba
hex315d60f5e8

212020033000 has 128 divisors (see below), whose sum is σ = 499095717120. Its totient is φ = 84302265600.

The previous prime is 212020032967. The next prime is 212020033063. The reversal of 212020033000 is 330020212.

It is a happy 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, 154420314 + ... + 154421686.

It is an arithmetic number, because the mean of its divisors is an integer number (3899185290).

Almost surely, 2212020033000 is an apocalyptic number.

212020033000 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 212020033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249547858560).

212020033000 is an abundant number, since it is smaller than the sum of its proper divisors (287075684120).

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

212020033000 is a wasteful number, since it uses less digits than its factorization.

212020033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 212020033000 its reverse (330020212), we get a palindrome (212350053212).

The spelling of 212020033000 in words is "two hundred twelve billion, twenty million, thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 307 500 503 614 1000 1006 1228 1373 1535 2012 2456 2515 2746 3070 4024 5030 5492 6140 6865 7675 10060 10984 12280 12575 13730 15350 20120 25150 27460 30700 34325 38375 50300 54920 61400 62875 68650 76750 100600 125750 137300 153500 154421 171625 251500 274600 307000 308842 343250 421511 503000 617684 686500 690619 772105 843022 1235368 1373000 1381238 1544210 1686044 2107555 2762476 3088420 3372088 3453095 3860525 4215110 5524952 6176840 6906190 7721050 8430220 10537775 13812380 15442100 16860440 17265475 19302625 21075550 27624760 30884200 34530950 38605250 42151100 52688875 69061900 77210500 84302200 86327375 105377750 138123800 154421000 172654750 210755500 212020033 345309500 421511000 424040066 690619000 848080132 1060100165 1696160264 2120200330 4240400660 5300500825 8480801320 10601001650 21202003300 26502504125 42404006600 53005008250 106010016500 212020033000