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10022122021020 = 22354310873573637
BaseRepresentation
bin1001000111010111010100…
…0001011110000010011100
31022111002211220201100200020
42101311311001132002130
52303200301214133040
633152033240432140
72053034345412354
oct221656501360234
938432756640606
1010022122021020
1132143a367191a
12115a430478650
1357910b3612a5
14269105193b64
15125a72125cd0
hex91d7505e09c

10022122021020 has 96 divisors (see below), whose sum is σ = 28740969320448. Its totient is φ = 2608010963712.

The previous prime is 10022122020991. The next prime is 10022122021057. The reversal of 10022122021020 is 2012022122001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1017642 + ... + 4591278.

It is an arithmetic number, because the mean of its divisors is an integer number (299385097088).

Almost surely, 210022122021020 is an apocalyptic number.

10022122021020 is a gapful number since it is divisible by the number (10) 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 10022122021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14370484660224).

10022122021020 is an abundant number, since it is smaller than the sum of its proper divisors (18718847299428).

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

10022122021020 is a wasteful number, since it uses less digits than its factorization.

10022122021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3574779 (or 3574777 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10022122021020 its reverse (2012022122001), we get a palindrome (12034144143021).

The spelling of 10022122021020 in words is "ten trillion, twenty-two billion, one hundred twenty-two million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1087 1290 2174 2580 3261 4348 5435 6522 10870 13044 16305 21740 32610 46741 65220 93482 140223 186964 233705 280446 467410 560892 701115 934820 1402230 2804460 3573637 7147274 10720911 14294548 17868185 21441822 35736370 42883644 53604555 71472740 107209110 153666391 214418220 307332782 460999173 614665564 768331955 921998346 1536663910 1843996692 2304995865 3073327820 3884543419 4609991730 7769086838 9219983460 11653630257 15538173676 19422717095 23307260514 38845434190 46614521028 58268151285 77690868380 116536302570 167035367017 233072605140 334070734034 501106101051 668141468068 835176835085 1002212202102 1670353670170 2004424404204 2505530505255 3340707340340 5011061010510 10022122021020