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212103023220 = 2232511401267139
BaseRepresentation
bin1100010110001001010…
…0110100101001110100
3202021110211020222010200
43011202110310221310
511433341333220340
6241234435520500
721216052643664
oct3054224645164
9667424228120
10212103023220
1181a52699730
1235134a59130
131700291558a
14a3a167a1a4
1557b5c95330
hex3162534a74

212103023220 has 144 divisors (see below), whose sum is σ = 703621114560. Its totient is φ = 51290496000.

The previous prime is 212103023203. The next prime is 212103023239. The reversal of 212103023220 is 22320301212.

212103023220 is a `hidden beast` number, since 21 + 21 + 0 + 302 + 322 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212103023193 and 212103023202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660411 + ... + 927549.

It is an arithmetic number, because the mean of its divisors is an integer number (4886257740).

Almost surely, 2212103023220 is an apocalyptic number.

212103023220 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 212103023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351810557280).

212103023220 is an abundant number, since it is smaller than the sum of its proper divisors (491518091340).

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

212103023220 is a wasteful number, since it uses less digits than its factorization.

212103023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267566 (or 267561 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212103023220 its reverse (22320301212), we get a palindrome (234423324432).

The spelling of 212103023220 in words is "two hundred twelve billion, one hundred three million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 401 495 660 802 990 1203 1604 1980 2005 2406 3609 4010 4411 4812 6015 7218 8020 8822 12030 13233 14436 17644 18045 22055 24060 26466 36090 39699 44110 52932 66165 72180 79398 88220 132330 158796 198495 264660 267139 396990 534278 793980 801417 1068556 1335695 1602834 2404251 2671390 2938529 3205668 4007085 4808502 5342780 5877058 8014170 8815587 9617004 11754116 12021255 14692645 16028340 17631174 24042510 26446761 29385290 35262348 44077935 48085020 52893522 58770580 88155870 105787044 107122739 132233805 176311740 214245478 264467610 321368217 428490956 528935220 535613695 642736434 964104651 1071227390 1178350129 1285472868 1606841085 1928209302 2142454780 2356700258 3213682170 3535050387 3856418604 4713400516 4820523255 5891750645 6427364340 7070100774 9641046510 10605151161 11783501290 14140201548 17675251935 19282093020 21210302322 23567002580 35350503870 42420604644 53025755805 70701007740 106051511610 212103023220