Search a number
-
+
10101222201012 = 22317315692807177
BaseRepresentation
bin1001001011111101111111…
…0000101101011010110100
31022202200000112122211200020
42102333133300231122310
52310444300340413022
633252234252045140
72061534463015125
oct222773760553264
938680015584606
1010101222201012
1132449a46598a8
121171826a637b0
13583705c33617
1426cc8a61c04c
15127b5160135c
hex92fdfc2d6b4

10101222201012 has 96 divisors (see below), whose sum is σ = 25806275066880. Its totient is φ = 3061393858560.

The previous prime is 10101222200989. The next prime is 10101222201017. The reversal of 10101222201012 is 21010222210101.

It is a junction number, because it is equal to n+sod(n) for n = 10101222200982 and 10101222201000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101222201017) 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, 2194768 + ... + 5001944.

It is an arithmetic number, because the mean of its divisors is an integer number (268815365280).

Almost surely, 210101222201012 is an apocalyptic number.

10101222201012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101222201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12903137533440).

10101222201012 is an abundant number, since it is smaller than the sum of its proper divisors (15705052865868).

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

10101222201012 is a wasteful number, since it uses less digits than its factorization.

10101222201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807801 (or 2807799 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10101222201012 its reverse (21010222210101), we get a palindrome (31111444411113).

The spelling of 10101222201012 in words is "ten trillion, one hundred one billion, two hundred twenty-two million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 372 527 569 1054 1138 1581 1707 2108 2276 3162 3414 6324 6828 9673 17639 19346 29019 35278 38692 52917 58038 70556 105834 116076 211668 299863 599726 899589 1199452 1799178 2807177 3598356 5614354 8421531 11228708 16843062 33686124 47722009 87022487 95444018 143166027 174044974 190888036 261067461 286332054 348089948 522134922 572664108 1044269844 1479382279 1597283713 2958764558 3194567426 4438146837 4791851139 5917529116 6389134852 8876293674 9583702278 17752587348 19167404556 27153823121 49515795103 54307646242 81461469363 99031590206 108615292484 148547385309 162922938726 198063180412 297094770618 325845877452 594189541236 841768516751 1683537033502 2525305550253 3367074067004 5050611100506 10101222201012