Search a number
-
+
100220212022100 = 223522373319815373
BaseRepresentation
bin10110110010011001010110…
…001000110000101101010100
3111010211221212220002022200020
4112302121112020300231110
5101114001443234201400
6553052310234345140
730052446165351342
oct2662312610605524
9433757786068606
10100220212022100
1129a2a175a50775
12b2a742228b1b0
1343bc957a460c1
141aa698140a992
15b8be573e12a0
hex5b2656230b54

100220212022100 has 144 divisors (see below), whose sum is σ = 302990701437312. Its totient is φ = 25528540055040.

The previous prime is 100220212022057. The next prime is 100220212022111. The reversal of 100220212022100 is 1220212022001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100220212022100.

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, 4849987 + ... + 14965386.

Almost surely, 2100220212022100 is an apocalyptic number.

100220212022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220212022100 is an abundant number, since it is smaller than the sum of its proper divisors (202770489415212).

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

100220212022100 is a wasteful number, since it uses less digits than its factorization.

100220212022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19816146 (or 19816139 counting only the distinct ones).

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

Adding to 100220212022100 its reverse (1220212022001), we get a palindrome (101440424044101).

Subtracting from 100220212022100 its reverse (1220212022001), we obtain a palindrome (99000000000099).

The spelling of 100220212022100 in words is "one hundred trillion, two hundred twenty billion, two hundred twelve million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 733 1150 1380 1466 1725 2199 2300 2932 3450 3665 4398 6900 7330 8796 10995 14660 16859 18325 21990 33718 36650 43980 50577 54975 67436 73300 84295 101154 109950 168590 202308 219900 252885 337180 421475 505770 842950 1011540 1264425 1685900 2528850 5057700 19815373 39630746 59446119 79261492 99076865 118892238 198153730 237784476 297230595 396307460 455753579 495384325 594461190 911507158 990768650 1188922380 1367260737 1486152975 1823014316 1981537300 2278767895 2734521474 2972305950 4557535790 5469042948 5944611900 6836303685 9115071580 11393839475 13672607370 14524668409 22787678950 27345214740 29049336818 34181518425 43574005227 45575357900 58098673636 68363036850 72623342045 87148010454 136726073700 145246684090 174296020908 217870026135 290493368180 334067373407 363116710225 435740052270 668134746814 726233420450 871480104540 1002202120221 1089350130675 1336269493628 1452466840900 1670336867035 2004404240442 2178700261350 3340673734070 4008808480884 4357400522700 5011010601105 6681347468140 8351684335175 10022021202210 16703368670350 20044042404420 25055053005525 33406737340700 50110106011050 100220212022100