Search a number
-
+
1020212201000 = 235319311732109
BaseRepresentation
bin11101101100010010110…
…00101100011000101000
310121112100100020121210002
432312021120230120220
5113203343310413000
62100402400042132
7133464544424516
oct16661130543050
93545310217702
101020212201000
11363740210743
12145883003348
13752899100a5
14375429a94b6
151b810e4b8d5
hexed8962c628

1020212201000 has 128 divisors (see below), whose sum is σ = 2594007936000. Its totient is φ = 374135328000.

The previous prime is 1020212200901. The next prime is 1020212201011. The reversal of 1020212201000 is 1022120201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277055 + ... + 1455054.

It is an arithmetic number, because the mean of its divisors is an integer number (20265687000).

Almost surely, 21020212201000 is an apocalyptic number.

1020212201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020212201000 is an abundant number, since it is smaller than the sum of its proper divisors (1573795735000).

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

1020212201000 is a wasteful number, since it uses less digits than its factorization.

1020212201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732180 (or 1732166 counting only the distinct ones).

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

Adding to 1020212201000 its reverse (1022120201), we get a palindrome (1021234321201).

The spelling of 1020212201000 in words is "one trillion, twenty billion, two hundred twelve million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 31 38 40 50 62 76 95 100 124 125 152 155 190 200 248 250 310 380 475 500 589 620 760 775 950 1000 1178 1240 1550 1900 2356 2375 2945 3100 3800 3875 4712 4750 5890 6200 7750 9500 11780 14725 15500 19000 23560 29450 31000 58900 73625 117800 147250 294500 589000 1732109 3464218 6928436 8660545 13856872 17321090 32910071 34642180 43302725 53695379 65820142 69284360 86605450 107390758 131640284 164550355 173210900 214781516 216513625 263280568 268476895 329100710 346421800 429563032 433027250 536953790 658201420 822751775 866054500 1020212201 1073907580 1316402840 1342384475 1645503550 1732109000 2040424402 2147815160 2684768950 3291007100 4080848804 4113758875 5101061005 5369537900 6582014200 6711922375 8161697608 8227517750 10202122010 10739075800 13423844750 16455035500 20404244020 25505305025 26847689500 32910071000 40808488040 51010610050 53695379000 102021220100 127526525125 204042440200 255053050250 510106100500 1020212201000