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212021202132 = 22336144477237
BaseRepresentation
bin1100010101110101110…
…0101100110011010100
3202021021010022000201000
43011131130230303110
511433204411432012
6241222354103300
721214040324355
oct3053534546324
9667233260630
10212021202132
1181a104942a3
123511157ab30
1316cbb99832c
14a39485bd2c
1557ad9d1ddc
hex315d72ccd4

212021202132 has 96 divisors (see below), whose sum is σ = 558898672640. Its totient is φ = 69489912960.

The previous prime is 212021202101. The next prime is 212021202137. The reversal of 212021202132 is 231202120212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212021202137) 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, 29293218 + ... + 29300454.

Almost surely, 2212021202132 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 212021202132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279449336320).

212021202132 is an abundant number, since it is smaller than the sum of its proper divisors (346877470508).

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

212021202132 is a wasteful number, since it uses less digits than its factorization.

212021202132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11758 (or 11750 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212021202132 its reverse (231202120212), we get a palindrome (443223322344).

The spelling of 212021202132 in words is "two hundred twelve billion, twenty-one million, two hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 549 732 1098 1647 2196 3294 4447 6588 7237 8894 13341 14474 17788 21711 26682 28948 40023 43422 53364 65133 80046 86844 120069 130266 160092 195399 240138 260532 271267 390798 441457 480276 542534 781596 813801 882914 1085068 1324371 1627602 1765828 2441403 2648742 3255204 3973113 4882806 5297484 7324209 7946226 9765612 11919339 14648418 15892452 23838678 29296836 32182939 47677356 64365878 96548817 128731756 193097634 289646451 386195268 579292902 868939353 1158585804 1737878706 1963159279 3475757412 3926318558 5889477837 7852637116 11778955674 17668433511 23557911348 35336867022 53005300533 70673734044 106010601066 212021202132