Search a number
-
+
1210100221000 = 235311313548681
BaseRepresentation
bin10001100110111111100…
…110000000010001001000
311021200110222001111110201
4101212333212000101020
5124311241124033000
62323525023221544
7153266261110336
oct21467746002110
94250428044421
101210100221000
11427223033680
121766381478b4
138a15bc95438
14427d7ad8b56
152172679396a
hex119bf980448

1210100221000 has 128 divisors (see below), whose sum is σ = 3188703697920. Its totient is φ = 425841600000.

The previous prime is 1210100220961. The next prime is 1210100221009. The reversal of 1210100221000 is 1220010121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1210100221009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1433341 + ... + 2115340.

It is an arithmetic number, because the mean of its divisors is an integer number (24911747640).

Almost surely, 21210100221000 is an apocalyptic number.

1210100221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1210100221000 is an abundant number, since it is smaller than the sum of its proper divisors (1978603476920).

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

1210100221000 is a wasteful number, since it uses less digits than its factorization.

1210100221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3548744 (or 3548730 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1210100221000 its reverse (1220010121), we get a palindrome (1211320231121).

The spelling of 1210100221000 in words is "one trillion, two hundred ten billion, one hundred million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 125 155 200 220 248 250 275 310 341 440 500 550 620 682 775 1000 1100 1240 1364 1375 1550 1705 2200 2728 2750 3100 3410 3875 5500 6200 6820 7750 8525 11000 13640 15500 17050 31000 34100 42625 68200 85250 170500 341000 3548681 7097362 14194724 17743405 28389448 35486810 39035491 70973620 78070982 88717025 110009111 141947240 156141964 177434050 195177455 220018222 312283928 354868100 390354910 440036444 443585125 550045555 709736200 780709820 880072888 887170250 975887275 1100091110 1210100221 1561419640 1774340500 1951774550 2200182220 2420200442 2750227775 3548681000 3903549100 4400364440 4840400884 4879436375 5500455550 6050501105 7807098200 9680801768 9758872750 11000911100 12101002210 13751138875 19517745500 22001822200 24202004420 27502277750 30252505525 39035491000 48404008840 55004555500 60505011050 110009111000 121010022100 151262527625 242020044200 302525055250 605050110500 1210100221000