Search a number
-
+
10110002200122 = 23113782915673187
BaseRepresentation
bin1001001100011110101100…
…0101101111111000111010
31022210111200102210000012110
42103013223011233320322
52311120241030400442
633300245413553150
72062265164540146
oct223075305577072
938714612700173
1010110002200122
11324869a747110
1211734773457b6
135844a4c45976
1426d480726226
15127eb732269c
hex931eb16fe3a

10110002200122 has 128 divisors (see below), whose sum is σ = 22703277219840. Its totient is φ = 2974406780160.

The previous prime is 10110002200121. The next prime is 10110002200157. The reversal of 10110002200122 is 22100220001101.

It is a junction number, because it is equal to n+sod(n) for n = 10110002200098 and 10110002200107.

It is not an unprimeable number, because it can be changed into a prime (10110002200121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3172261413 + ... + 3172264599.

It is an arithmetic number, because the mean of its divisors is an integer number (177369353280).

Almost surely, 210110002200122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10110002200122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11351638609920).

10110002200122 is an abundant number, since it is smaller than the sum of its proper divisors (12593275019718).

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

10110002200122 is a wasteful number, since it uses less digits than its factorization.

10110002200122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5636.

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

Adding to 10110002200122 its reverse (22100220001101), we get a palindrome (32210222201223).

The spelling of 10110002200122 in words is "ten trillion, one hundred ten billion, two million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 829 1221 1567 1658 2442 2487 3134 3187 4701 4974 6374 9119 9402 9561 17237 18238 19122 27357 30673 34474 35057 51711 54714 57979 61346 70114 92019 103422 105171 115958 117919 173937 184038 210342 235838 337403 347874 353757 637769 674806 707514 1012209 1275538 1297109 1299043 1913307 2024418 2594218 2598086 2642023 3826614 3891327 3897129 4994029 5284046 7782654 7794258 7926069 9988058 14289473 14982087 15852138 28578946 29062253 29964174 42868419 48064591 54934319 58124506 85736838 87186759 96129182 97754851 109868638 144193773 164802957 174373518 184779073 195509702 288387546 293264553 329605914 369558146 528710501 554337219 586529106 1057421002 1075303361 1108674438 1586131503 2032569803 2150606722 3172263006 3225910083 4065139606 4140050041 6097709409 6451820166 8280100082 12195418818 12420150123 24840300246 45540550451 91081100902 136621651353 153181851517 273243302706 306363703034 459545554551 919091109102 1685000366687 3370000733374 5055001100061 10110002200122