Search a number
-
+
201212021102112 = 2534176814390481
BaseRepresentation
bin101101110000000001010011…
…000010101101011000100000
3222101102200101201011102120000
4231300001103002231120200
5202333124204400231422
61551535305412020000
760245042312563506
oct5560012302553040
9871380351142500
10201212021102112
11591265a2364379
121a6982a2901600
13883729b1b9357
1437989dc8a0676
15183debe2b7cac
hexb700530ad620

201212021102112 has 120 divisors (see below), whose sum is σ = 591792568265052. Its totient is φ = 67066865049600.

The previous prime is 201212021102017. The next prime is 201212021102153. The reversal of 201212021102112 is 211201120212102.

201212021102112 is a `hidden beast` number, since 20 + 121 + 202 + 110 + 211 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 162023469576336 + 39188551525776 = 12728844^2 + 6260076^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43633912 + ... + 48024392.

Almost surely, 2201212021102112 is an apocalyptic number.

It is an amenable number.

201212021102112 is an abundant number, since it is smaller than the sum of its proper divisors (390580547162940).

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

201212021102112 is a wasteful number, since it uses less digits than its factorization.

201212021102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4408184 (or 4408167 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201212021102112 its reverse (211201120212102), we get a palindrome (412413141314214).

The spelling of 201212021102112 in words is "two hundred one trillion, two hundred twelve billion, twenty-one million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 17681 35362 53043 70724 106086 141448 159129 212172 282896 318258 424344 477387 565792 636516 848688 954774 1273032 1432161 1697376 1909548 2546064 2864322 3819096 4390481 5092128 5728644 7638192 8780962 11457288 13171443 15276384 17561924 22914576 26342886 35123848 39514329 45829152 52685772 70247696 79028658 105371544 118542987 140495392 158057316 210743088 237085974 316114632 355628961 421486176 474171948 632229264 711257922 948343896 1264458528 1422515844 1896687792 2845031688 3793375584 5690063376 11380126752 77628094561 155256189122 232884283683 310512378244 465768567366 621024756488 698652851049 931537134732 1242049512976 1397305702098 1863074269464 2095958553147 2484099025952 2794611404196 3726148538928 4191917106294 5589222808392 6287875659441 7452297077856 8383834212588 11178445616784 12575751318882 16767668425176 22356891233568 25151502637764 33535336850352 50303005275528 67070673700704 100606010551056 201212021102112