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100120222012020 = 22357257179595577
BaseRepresentation
bin10110110000111100001110…
…010001001001001001110100
3111010111101210102020112000120
4112300330032101021021310
5101110332203313341040
6552534332305411540
730042306302321100
oct2660741621111164
9433441712215016
10100120222012020
11299a0825219201
12b28bb77939bb0
1343b33b1323772
141aa1bb782a900
15b89553ecb7d0
hex5b0f0e449274

100120222012020 has 144 divisors (see below), whose sum is σ = 326112116783040. Its totient is φ = 22884183522816.

The previous prime is 100120222012009. The next prime is 100120222012067. The reversal of 100120222012020 is 20210222021001.

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 47 ways as a sum of consecutive naturals, for example, 167808472 + ... + 168404048.

It is an arithmetic number, because the mean of its divisors is an integer number (2264667477660).

Almost surely, 2100120222012020 is an apocalyptic number.

100120222012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120222012020 is an abundant number, since it is smaller than the sum of its proper divisors (225991894771020).

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

100120222012020 is a wasteful number, since it uses less digits than its factorization.

100120222012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652782 (or 652773 counting only the distinct ones).

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

Adding to 100120222012020 its reverse (20210222021001), we get a palindrome (120330444033021).

The spelling of 100120222012020 in words is "one hundred trillion, one hundred twenty billion, two hundred twenty-two million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 57179 114358 171537 228716 285895 343074 400253 571790 595577 686148 800506 857685 1143580 1191154 1200759 1601012 1715370 1786731 2001265 2382308 2401518 2801771 2977885 3430740 3573462 4002530 4169039 4803036 5603542 5955770 6003795 7146924 8005060 8338078 8405313 8933655 11207084 11911540 12007590 12507117 14008855 16676156 16810626 17867310 20845195 24015180 25014234 28017710 29183273 33621252 35734620 41690390 42026565 50028468 56035420 58366546 62535585 83380780 84053130 87549819 116733092 125071170 145916365 168106260 175099638 250142340 291832730 350199276 437749095 583665460 875498190 1750996380 34054497283 68108994566 102163491849 136217989132 170272486415 204326983698 238381480981 340544972830 408653967396 476762961962 510817459245 681089945660 715144442943 953525923924 1021634918490 1191907404905 1430288885886 1668670366867 2043269836980 2383814809810 2860577771772 3337340733734 3575722214715 4767629619620 5006011100601 6674681467468 7151444429430 8343351834335 10012022201202 14302888858860 16686703668670 20024044402404 25030055503005 33373407337340 50060111006010 100120222012020