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212020303032 = 233310316215879
BaseRepresentation
bin1100010101110101100…
…1010001010010111000
3202021021001121100101000
43011131121101102320
511433204144144112
6241222322525000
721214026561156
oct3053531212270
9667231540330
10212020303032
1181a0aa2a83a
1235111206760
1316cbb742015
14a3946a63d6
1557ad8a57dc
hex315d6514b8

212020303032 has 128 divisors (see below), whose sum is σ = 595131264000. Its totient is φ = 69932211840.

The previous prime is 212020303031. The next prime is 212020303067. The reversal of 212020303032 is 230303020212.

It is a happy number.

It is a super-2 number, since 2×2120203030322 (a number of 23 digits) contains 22 as substring.

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 = 212020302996 and 212020303014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212020303031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36061069 + ... + 36066947.

It is an arithmetic number, because the mean of its divisors is an integer number (4649463000).

Almost surely, 2212020303032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212020303032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297565632000).

212020303032 is an abundant number, since it is smaller than the sum of its proper divisors (383110960968).

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

212020303032 is a wasteful number, since it uses less digits than its factorization.

212020303032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7618 (or 7608 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 212020303032 its reverse (230303020212), we get a palindrome (442323323244).

The spelling of 212020303032 in words is "two hundred twelve billion, twenty million, three hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 103 108 206 216 309 412 618 824 927 1236 1621 1854 2472 2781 3242 3708 4863 5562 5879 6484 7416 9726 11124 11758 12968 14589 17637 19452 22248 23516 29178 35274 38904 43767 47032 52911 58356 70548 87534 105822 116712 141096 158733 166963 175068 211644 317466 333926 350136 423288 500889 605537 634932 667852 1001778 1211074 1269864 1335704 1502667 1816611 2003556 2422148 3005334 3633222 4007112 4508001 4844296 5449833 6010668 7266444 9016002 9529859 10899666 12021336 14532888 16349499 18032004 19059718 21799332 28589577 32698998 36064008 38119436 43598664 57179154 65397996 76238872 85768731 114358308 130795992 171537462 228716616 257306193 343074924 514612386 686149848 981575477 1029224772 1963150954 2058449544 2944726431 3926301908 5889452862 7852603816 8834179293 11778905724 17668358586 23557811448 26502537879 35336717172 53005075758 70673434344 106010151516 212020303032