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100001224121420 = 22519973034189417
BaseRepresentation
bin10110101111001101011001…
…011100001101110001001100
3111010002000122020201100012002
4112233031121130031301030
5101101410001333341140
6552403532251531432
730030564362043326
oct2657153134156114
9433060566640162
10100001224121420
112995530aa98776
12b270aa7759b78
1343a50c893474b
141a9a129620616
15b863dbec2415
hex5af35970dc4c

100001224121420 has 96 divisors (see below), whose sum is σ = 223344117097920. Its totient is φ = 37502873026560.

The previous prime is 100001224121419. The next prime is 100001224121441. The reversal of 100001224121420 is 24121422100001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100001224121392 and 100001224121401.

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, 1118324552 + ... + 1118413968.

It is an arithmetic number, because the mean of its divisors is an integer number (2326501219770).

Almost surely, 2100001224121420 is an apocalyptic number.

100001224121420 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 100001224121420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111672058548960).

100001224121420 is an abundant number, since it is smaller than the sum of its proper divisors (123342892976500).

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

100001224121420 is a wasteful number, since it uses less digits than its factorization.

100001224121420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119883 (or 119881 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 100001224121420 its reverse (24121422100001), we get a palindrome (124122646221421).

The spelling of 100001224121420 in words is "one hundred trillion, one billion, two hundred twenty-four million, one hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 97 190 194 380 388 485 970 1843 1940 3686 7372 9215 18430 30341 36860 60682 89417 121364 151705 178834 303410 357668 447085 576479 606820 894170 1152958 1698923 1788340 2305916 2882395 2943077 3397846 5764790 5886154 6795692 8494615 8673449 11529580 11772308 14715385 16989230 17346898 29430770 33978460 34693796 43367245 55918463 58861540 86734490 111836926 164795531 173468980 223673852 279592315 329591062 559184630 659182124 823977655 1118369260 1647955310 2713001197 3295910620 5426002394 10852004788 13565005985 27130011970 51547022743 54260023940 103094045486 206188090972 257735113715 263161116109 515470227430 526322232218 1030940454860 1052644464436 1315805580545 2631611161090 5000061206071 5263222322180 10000122412142 20000244824284 25000306030355 50000612060710 100001224121420