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10201102221222 = 2331179941231017
BaseRepresentation
bin1001010001110010000100…
…0100101111111110100110
31100010012211100112120121000
42110130201010233332212
52314113324132034342
633410153251334130
72102001552125253
oct224344104577646
940105740476530
1010201102221222
113283299297350
1211890605b1346
1358cc629253b3
14273a4376a42a
1512a54a03b44c
hex9472112ffa6

10201102221222 has 128 divisors (see below), whose sum is σ = 25069703731200. Its totient is φ = 3048856761600.

The previous prime is 10201102221181. The next prime is 10201102221281. The reversal of 10201102221222 is 22212220110201.

It is a happy number.

10201102221222 is a `hidden beast` number, since 10 + 201 + 10 + 2 + 221 + 222 = 666.

10201102221222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 10201102221195 and 10201102221204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44041858 + ... + 44272874.

It is an arithmetic number, because the mean of its divisors is an integer number (195857060400).

Almost surely, 210201102221222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201102221222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12534851865600).

10201102221222 is an abundant number, since it is smaller than the sum of its proper divisors (14868601509978).

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

10201102221222 is a wasteful number, since it uses less digits than its factorization.

10201102221222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232059 (or 232053 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10201102221222 its reverse (22212220110201), we get a palindrome (32413322331423).

The spelling of 10201102221222 in words is "ten trillion, two hundred one billion, one hundred two million, two hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 79 99 158 198 237 297 474 594 711 869 941 1422 1738 1882 2133 2607 2823 4266 5214 5646 7821 8469 10351 15642 16938 20702 23463 25407 31053 46926 50814 62106 74339 93159 148678 186318 223017 231017 279477 446034 462034 558954 669051 693051 817729 1338102 1386102 1635458 2007153 2079153 2453187 2541187 4014306 4158306 4906374 5082374 6237459 7359561 7623561 12474918 14719122 15247122 18250343 22078683 22870683 36500686 44157366 45741366 54751029 68612049 109502058 137224098 164253087 200753773 217386997 328506174 401507546 434773994 492759261 602261319 652160991 985518522 1204522638 1304321982 1806783957 1956482973 2391256967 3613567914 3912965946 4782513934 5420351871 5869448919 7173770901 10840703742 11738897838 14347541802 17173572763 21521312703 34347145526 43042625406 51520718289 64563938109 103041436578 129127876218 154562154867 188909300393 309124309734 377818600786 463686464601 566727901179 927372929202 1133455802358 1700183703537 3400367407074 5100551110611 10201102221222