Search a number
-
+
1001212020200 = 235272331093541
BaseRepresentation
bin11101001000111001110…
…00110000010111101000
310112201022012001102122002
432210130320300113220
5112400440234121300
62043541144150132
7132222652516430
oct16443470602750
93481265042562
101001212020200
113566800a1687
1214205ba68348
137354c40b262
143665d3c52c0
151b09cd785d5
hexe91ce305e8

1001212020200 has 96 divisors (see below), whose sum is σ = 2776031429760. Its totient is φ = 328347782400.

The previous prime is 1001212020191. The next prime is 1001212020271. The reversal of 1001212020200 is 20202121001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15514571 + ... + 15578970.

It is an arithmetic number, because the mean of its divisors is an integer number (28916994060).

Almost surely, 21001212020200 is an apocalyptic number.

1001212020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001212020200 is an abundant number, since it is smaller than the sum of its proper divisors (1774819409560).

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

1001212020200 is a wasteful number, since it uses less digits than its factorization.

1001212020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31093587 (or 31093578 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1001212020200 its reverse (20202121001), we get a palindrome (1021414141201).

The spelling of 1001212020200 in words is "one trillion, one billion, two hundred twelve million, twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 50 56 70 92 100 115 140 161 175 184 200 230 280 322 350 460 575 644 700 805 920 1150 1288 1400 1610 2300 3220 4025 4600 6440 8050 16100 32200 31093541 62187082 124374164 155467705 217654787 248748328 310935410 435309574 621870820 715151443 777338525 870619148 1088273935 1243741640 1430302886 1554677050 1741238296 2176547870 2860605772 3109354100 3575757215 4353095740 5006060101 5441369675 5721211544 6218708200 7151514430 8706191480 10012120202 10882739350 14303028860 17878786075 20024240404 21765478700 25030300505 28606057720 35757572150 40048480808 43530957400 50060601010 71515144300 100121202020 125151502525 143030288600 200242404040 250303005050 500606010100 1001212020200