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202143222003100 = 225279723571263077
BaseRepresentation
bin101101111101100100100010…
…111100001111010110011100
3222111201200222200221111121211
4231331210202330033112130
5202443403304313044400
61553531151511034204
760402236324623120
oct5575444274172634
9874650880844554
10202143222003100
1159455505a59954
121a80886406b964
1388a4040a88b41
1437cbad99b7580
151858320a85dba
hexb7d922f0f59c

202143222003100 has 144 divisors (see below), whose sum is σ = 506698674334272. Its totient is φ = 68562594570240.

The previous prime is 202143222003061. The next prime is 202143222003119. The reversal of 202143222003100 is 1300222341202.

It is a super-2 number, since 2×2021432220031002 (a number of 29 digits) contains 22 as substring.

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, 159408762 + ... + 160671838.

It is an arithmetic number, because the mean of its divisors is an integer number (3518740793988).

Almost surely, 2202143222003100 is an apocalyptic number.

202143222003100 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 202143222003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253349337167136).

202143222003100 is an abundant number, since it is smaller than the sum of its proper divisors (304555452331172).

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

202143222003100 is a wasteful number, since it uses less digits than its factorization.

202143222003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265552 (or 1265545 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 202143222003100 its reverse (1300222341202), we get a palindrome (203443444344302).

The spelling of 202143222003100 in words is "two hundred two trillion, one hundred forty-three billion, two hundred twenty-two million, three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 97 100 140 175 194 350 388 485 679 700 970 1358 1940 2357 2425 2716 3395 4714 4850 6790 9428 9700 11785 13580 16499 16975 23570 32998 33950 47140 58925 65996 67900 82495 117850 164990 228629 235700 329980 412475 457258 824950 914516 1143145 1263077 1600403 1649900 2286290 2526154 3200806 4572580 5052308 5715725 6315385 6401612 8002015 8841539 11431450 12630770 16004030 17683078 22862900 25261540 31576925 32008060 35366156 40010075 44207695 63153850 80020150 88415390 122518469 126307700 160040300 176830780 221038475 245036938 442076950 490073876 612592345 857629283 884153900 1225184690 1715258566 2450369380 2977072489 3062961725 3430517132 4288146415 5954144978 6125923450 8576292830 11908289956 12251846900 14885362445 17152585660 20839507423 21440732075 29770724890 41679014846 42881464150 59541449780 74426812225 83358029692 85762928300 104197537115 148853624450 208395074230 288776031433 297707248900 416790148460 520987685575 577552062866 1041975371150 1155104125732 1443880157165 2021432220031 2083950742300 2887760314330 4042864440062 5775520628660 7219400785825 8085728880124 10107161100155 14438801571650 20214322200310 28877603143300 40428644400620 50535805500775 101071611001550 202143222003100