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22123014100100 = 22526728375715413
BaseRepresentation
bin1010000011110111010100…
…11001011001010010000100
32220022221100220001010011022
411001323222121121102010
510344430413102200400
6115015101122130312
74442222625102134
oct501735231312204
986287326033138
1022123014100100
11705a354793a61
1225937087b0998
13c46264312844
14566a8c48aac4
1528570c745b85
hex141eea659484

22123014100100 has 144 divisors (see below), whose sum is σ = 48963397683648. Its totient is φ = 8674287874560.

The previous prime is 22123014100079. The next prime is 22123014100171. The reversal of 22123014100100 is 100141032122.

It is a super-3 number, since 3×221230141001003 (a number of 41 digits) contains 333 as substring.

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, 1435339994 + ... + 1435355406.

Almost surely, 222123014100100 is an apocalyptic number.

22123014100100 is a gapful number since it is divisible by the number (20) 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 22123014100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24481698841824).

22123014100100 is an abundant number, since it is smaller than the sum of its proper divisors (26840383583548).

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

22123014100100 is a wasteful number, since it uses less digits than its factorization.

22123014100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16534 (or 16527 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 22123014100100 its reverse (100141032122), we get a palindrome (22223155132222).

The spelling of 22123014100100 in words is "twenty-two trillion, one hundred twenty-three billion, fourteen million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 283 335 566 670 757 1132 1340 1415 1514 1675 2830 3028 3350 3785 5660 6700 7075 7570 14150 15140 15413 18925 18961 28300 30826 37850 37922 50719 61652 75700 75844 77065 94805 101438 154130 189610 202876 214231 253595 308260 379220 385325 428462 474025 507190 770650 856924 948050 1014380 1032671 1071155 1267975 1541300 1896100 2065342 2142310 2535950 4130684 4284620 4361879 5071900 5163355 5355775 8723758 10326710 10711550 11667641 14353477 17447516 20653420 21423100 21809395 23335282 25816775 28706954 43618790 46670564 51633550 57413908 58338205 71767385 87237580 103267100 109046975 116676410 143534770 218093950 233352820 287069540 291691025 292245893 358836925 436187900 583382050 584491786 717673850 781731947 1166764100 1168983572 1435347700 1461229465 1563463894 2922458930 3126927788 3301942403 3908659735 5844917860 6603884806 7306147325 7817319470 13207769612 14612294650 15634638940 16509712015 19543298675 29224589300 33019424030 39086597350 66038848060 78173194700 82548560075 165097120150 221230141001 330194240300 442460282002 884920564004 1106150705005 2212301410010 4424602820020 5530753525025 11061507050050 22123014100100