Search a number
-
+
10120101210212 = 22723239464914143
BaseRepresentation
bin1001001101000100010100…
…0010011010100001100100
31022211110202020211212122012
42103101011002122201210
52311301431402211322
633305035454453352
72063103353652230
oct223210502324144
938743666755565
1010120101210212
113251a02336944
121175415504258
135854242bb196
1426db5ba9d5c0
151283a8c3bae2
hex9344509a864

10120101210212 has 96 divisors (see below), whose sum is σ = 21214642176000. Its totient is φ = 4130074029312.

The previous prime is 10120101210203. The next prime is 10120101210239. The reversal of 10120101210212 is 21201210102101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 715548413 + ... + 715562555.

It is an arithmetic number, because the mean of its divisors is an integer number (220985856000).

Almost surely, 210120101210212 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 10120101210212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10607321088000).

10120101210212 is an abundant number, since it is smaller than the sum of its proper divisors (11094540965788).

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

10120101210212 is a wasteful number, since it uses less digits than its factorization.

10120101210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19065 (or 19063 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10120101210212 its reverse (21201210102101), we get a palindrome (31321311312313).

It can be divided in two parts, 1012010 and 1210212, that added together give a palindrome (2222222).

The spelling of 10120101210212 in words is "ten trillion, one hundred twenty billion, one hundred one million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 4 7 14 23 28 46 92 161 239 322 478 644 956 1673 3346 4649 5497 6692 9298 10994 14143 18596 21988 28286 32543 38479 56572 65086 76958 99001 106927 130172 153916 198002 213854 325289 396004 427708 650578 748489 1111111 1301156 1496978 2222222 2277023 2993956 3380177 4444444 4554046 6760354 7777777 9108092 13520708 15555554 23661239 25555553 31111108 47322478 51111106 65750807 77744071 94644956 102222212 131501614 155488142 178888871 263003228 310976284 357777742 460255649 544208497 715555484 920511298 1088416994 1512268561 1841022596 2176833988 3024537122 6049074244 10585879927 15714442873 21171759854 31428885746 42343519708 62857771492 110001100111 220002200222 361432186079 440004400444 722864372158 1445728744316 2530025302553 5060050605106 10120101210212