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10021120111002 = 23711138387198941
BaseRepresentation
bin1001000111010011100101…
…0011011111000110011010
31022111000021002110001111210
42101310321103133012122
52303141223222023002
633151350010203550
72053000461335040
oct221647123370632
938430232401453
1010021120111002
113213a2a064010
12115a1b0a235b6
13578cab905920
1426904c0aa390
15125a141b896c
hex91d394df19a

10021120111002 has 128 divisors (see below), whose sum is σ = 26913204799488. Its totient is φ = 2402367609600.

The previous prime is 10021120110973. The next prime is 10021120111097. The reversal of 10021120111002 is 20011102112001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50272852 + ... + 50471792.

It is an arithmetic number, because the mean of its divisors is an integer number (210259412496).

Almost surely, 210021120111002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021120111002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13456602399744).

10021120111002 is an abundant number, since it is smaller than the sum of its proper divisors (16892084688486).

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

10021120111002 is a wasteful number, since it uses less digits than its factorization.

10021120111002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207364.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10021120111002 its reverse (20011102112001), we get a palindrome (30032222223003).

The spelling of 10021120111002 in words is "ten trillion, twenty-one billion, one hundred twenty million, one hundred eleven thousand, two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 6006 8387 16774 25161 50322 58709 92257 109031 117418 176127 184514 198941 218062 276771 327093 352254 397882 553542 596823 645799 654186 763217 1193646 1199341 1291598 1392587 1526434 1937397 2188351 2289651 2398682 2586233 2785174 3598023 3874794 4177761 4376702 4579302 5172466 6565053 7196046 7758699 8355522 8395387 13130106 15318457 15517398 16790774 18103631 25186161 28448563 30636914 36207262 45955371 50372322 54310893 56897126 85345689 91910742 108621786 170691378 199139941 398279882 597419823 1194839646 1668518167 3337036334 5005554501 10011109002 11679627169 18353699837 21690736171 23359254338 35038881507 36707399674 43381472342 55061099511 65072208513 70077763014 110122199022 128475898859 130144417026 151835153197 238598097881 256951797718 303670306394 385427696577 455505459591 477196195762 715794293643 770855393154 911010919182 1431588587286 1670186685167 3340373370334 5010560055501 10021120111002