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2101123202022 = 23213353213711903
BaseRepresentation
bin11110100100110100101…
…100111011101111100110
321102212100212222202201200
4132210310230323233212
5233411100014431042
64245124230103330
7304541535353025
oct36446454735746
97385325882650
102101123202022
117400992a9219
1229b265aaab46
1312319a9894a0
14739a2b6c8bc
15399c5b32c4c
hex1e934b3bbe6

2101123202022 has 96 divisors (see below), whose sum is σ = 4919223149568. Its totient is φ = 644312199168.

The previous prime is 2101123202011. The next prime is 2101123202051. The reversal of 2101123202022 is 2202023211012.

2101123202022 is a `hidden beast` number, since 210 + 112 + 320 + 2 + 0 + 22 = 666.

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 = 2101123201986 and 2101123202004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176514523 + ... + 176526425.

It is an arithmetic number, because the mean of its divisors is an integer number (51241907808).

Almost surely, 22101123202022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101123202022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459611574784).

2101123202022 is an abundant number, since it is smaller than the sum of its proper divisors (2818099947546).

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

2101123202022 is a wasteful number, since it uses less digits than its factorization.

2101123202022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14414 (or 14411 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2101123202022 its reverse (2202023211012), we get a palindrome (4303146413034).

The spelling of 2101123202022 in words is "two trillion, one hundred one billion, one hundred twenty-three million, two hundred two thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 353 706 1059 2118 2137 3177 4274 4589 6354 6411 9178 11903 12822 13767 19233 23806 27534 27781 35709 38466 41301 55562 71418 82602 83343 107127 154739 166686 214254 250029 309478 464217 500058 754361 928434 1392651 1508722 2263083 2785302 4201759 4526166 6789249 8403518 9806693 12605277 13578498 19613386 25210554 25436711 29420079 37815831 50873422 54622867 58840158 75631662 76310133 88260237 109245734 152620266 163868601 176520474 228930399 327737202 330677243 457860798 491605803 661354486 983211606 992031729 1984063458 2976095187 5952190374 8979158983 17958317966 26937476949 53874953898 80812430847 116729066779 161624861694 233458133558 350187200337 700374400674 1050561601011 2101123202022