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101000122202122 = 2111310149124232939
BaseRepresentation
bin10110111101101111101100…
…011001111111100000001010
3111020121111222011200110120021
4112331233230121333200022
5101214241222240431442
6554450452100251054
730163006116453553
oct2675575431774012
9436544864613507
10101000122202122
112a1aaa02a08360
12b3b26006a0a8a
134448369829b20
141ad260958932a
15ba23a1b23e67
hex5bdbec67f80a

101000122202122 has 128 divisors (see below), whose sum is σ = 180250200668160. Its totient is φ = 41841115680000.

The previous prime is 101000122202069. The next prime is 101000122202191. The reversal of 101000122202122 is 221202221000101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101000122202096 and 101000122202105.

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, 34365470529 + ... + 34365473467.

It is an arithmetic number, because the mean of its divisors is an integer number (1408204692720).

Almost surely, 2101000122202122 is an apocalyptic number.

101000122202122 is a deficient number, since it is larger than the sum of its proper divisors (79250078466038).

101000122202122 is a wasteful number, since it uses less digits than its factorization.

101000122202122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5980.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101000122202122 its reverse (221202221000101), we get a palindrome (322202343202223).

The spelling of 101000122202122 in words is "one hundred one trillion, one hundred twenty-two million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 11 13 22 26 101 143 202 286 491 982 1111 1313 2222 2423 2626 2939 4846 5401 5878 6383 10802 12766 14443 26653 28886 31499 32329 38207 49591 53306 62998 64658 70213 76414 99182 140426 244723 296839 346489 420277 489446 545501 593678 644683 692978 840554 1091002 1189693 1289366 1443049 2379386 2691953 2886098 3181399 3265229 3858907 5383906 6362798 6530458 7091513 7121197 7717814 13086623 14183026 14242394 15466009 15873539 18759637 26173246 30932018 31747078 34995389 37519274 42447977 69990778 78333167 84895954 92575561 120158993 145747949 156666334 170126099 185151122 206356007 240317986 291495898 340252198 412712014 719240897 1018331171 1321748923 1438481794 1562066909 1603227439 1894723337 2036662342 2643497846 3124133818 3206454878 3496507727 3789446674 6993015454 7911649867 9350131661 15823299734 17182735999 18700263322 20841956707 34365471998 38461584997 41683913414 45454600451 76923169994 90909200902 102851448271 205702896542 353147280427 500000604961 706294560854 1000001209922 3884620084697 4590914645551 7769240169394 9181829291102 50500061101061 101000122202122