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200212001112 = 233177927122921
BaseRepresentation
bin1011101001110110010…
…0001011000101011000
3201010210010012110100110
42322131210023011120
511240013233013422
6231550502004320
720315303634024
oct2723544130530
9633703173313
10200212001112
1177a00500832
12329767166a0
1315b59218b16
149994309384
15531bd9e60c
hex2e9d90b158

200212001112 has 128 divisors (see below), whose sum is σ = 538685337600. Its totient is φ = 61784985600.

The previous prime is 200212001111. The next prime is 200212001113. The reversal of 200212001112 is 211100212002.

It is an interprime number because it is at equal distance from previous prime (200212001111) and next prime (200212001113).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200212001111) 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, 8723412 + ... + 8746332.

It is an arithmetic number, because the mean of its divisors is an integer number (4208479200).

Almost surely, 2200212001112 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 200212001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269342668800).

200212001112 is an abundant number, since it is smaller than the sum of its proper divisors (338473336488).

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

200212001112 is a wasteful number, since it uses less digits than its factorization.

200212001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23297 (or 23293 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200212001112 its reverse (211100212002), we get a palindrome (411312213114).

The spelling of 200212001112 in words is "two hundred billion, two hundred twelve million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 79 102 136 158 204 237 271 316 408 474 542 632 813 948 1084 1343 1626 1896 2168 2686 3252 4029 4607 5372 6504 8058 9214 10744 13821 16116 18428 21409 22921 27642 32232 36856 42818 45842 55284 64227 68763 85636 91684 110568 128454 137526 171272 183368 256908 275052 363953 389657 513816 550104 727906 779314 1091859 1168971 1455812 1558628 1810759 2183718 2337942 2911624 3117256 3621518 4367436 4675884 5432277 6211591 7243036 8734872 9351768 10864554 12423182 14486072 18634773 21729108 24846364 30782903 37269546 43458216 49692728 61565806 74539092 92348709 105597047 123131612 149078184 184697418 211194094 246263224 316791141 369394836 422388188 490715689 633582282 738789672 844776376 981431378 1267164564 1472147067 1962862756 2534329128 2944294134 3925725512 5888588268 8342166713 11777176536 16684333426 25026500139 33368666852 50053000278 66737333704 100106000556 200212001112