Search a number
-
+
10121221211202 = 23210122924311041
BaseRepresentation
bin1001001101001000011111…
…0010111000010001000010
31022211120122022022211011100
42103102013302320101002
52311311230112224302
633305342544155230
72063143203550233
oct223220762702102
938746568284140
1010121221211202
1132524275721a2
121175688608b16
1358557235286a
1426dc2672708a
15128422223d1c
hex93487cb8442

10121221211202 has 48 divisors (see below), whose sum is σ = 22243144767480. Its totient is φ = 3325750272000.

The previous prime is 10121221211201. The next prime is 10121221211209. The reversal of 10121221211202 is 20211212212101.

10121221211202 is a `hidden beast` number, since 10 + 1 + 21 + 221 + 211 + 202 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9938893065201 + 182328146001 = 3152601^2 + 426999^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10121221211201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11739199 + ... + 12571842.

Almost surely, 210121221211202 is an apocalyptic number.

10121221211202 is an abundant number, since it is smaller than the sum of its proper divisors (12121923556278).

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

10121221211202 is a wasteful number, since it uses less digits than its factorization.

10121221211202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24311379 (or 24311376 counting only the distinct ones).

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

Adding to 10121221211202 its reverse (20211212212101), we get a palindrome (30332433423303).

The spelling of 10121221211202 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred eleven thousand, two hundred two".

Divisors: 1 2 3 6 9 18 101 202 229 303 458 606 687 909 1374 1818 2061 4122 23129 46258 69387 138774 208161 416322 24311041 48622082 72933123 145866246 218799369 437598738 2455415141 4910830282 5567228389 7366245423 11134456778 14732490846 16701685167 22098736269 33403370334 44197472538 50105055501 100210111002 562290067289 1124580134578 1686870201867 3373740403734 5060610605601 10121221211202