Search a number
-
+
1020220021002 = 237132227633187
BaseRepresentation
bin11101101100010011101…
…10100001100100001010
310121112100212221220210210
432312021312201210022
5113203402311133002
62100403235421550
7133465001044410
oct16661166414412
93545325856723
101020220021002
11363744671a56
121458857548b6
137528b41a600
1437543a432b0
151b81199396c
hexed89da190a

1020220021002 has 96 divisors (see below), whose sum is σ = 2536237066752. Its totient is φ = 267883267392.

The previous prime is 1020220020949. The next prime is 1020220021019. The reversal of 1020220021002 is 2001200220201.

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 47 ways as a sum of consecutive naturals, for example, 1294653 + ... + 1927839.

It is an arithmetic number, because the mean of its divisors is an integer number (26419136112).

Almost surely, 21020220021002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020220021002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268118533376).

1020220021002 is an abundant number, since it is smaller than the sum of its proper divisors (1516017045750).

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

1020220021002 is a wasteful number, since it uses less digits than its factorization.

1020220021002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633452 (or 633439 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1020220021002 its reverse (2001200220201), we get a palindrome (3021420241203).

The spelling of 1020220021002 in words is "one trillion, twenty billion, two hundred twenty million, twenty-one thousand, two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 169 182 227 273 338 454 507 546 681 1014 1183 1362 1589 2366 2951 3178 3549 4767 5902 7098 8853 9534 17706 20657 38363 41314 61971 76726 115089 123942 230178 268541 537082 633187 805623 1266374 1611246 1899561 3799122 4432309 8231431 8864618 13296927 16462862 24694293 26593854 49388586 57620017 107008603 115240034 143733449 172860051 214017206 287466898 321025809 345720102 431200347 642051618 749060221 862400694 1006134143 1498120442 1868534837 2012268286 2247180663 3018402429 3737069674 4494361326 5605604511 6036804858 11211209022 13079743859 24290952881 26159487718 39239231577 48581905762 72872858643 78478463154 145745717286 170036670167 340073340334 510110010501 1020220021002