Search a number
-
+
1321210213020 = 2232561857140407
BaseRepresentation
bin10011001110011110010…
…000111111001010011100
311200022021102002220122100
4103032132100333022130
5133121314303304040
62450542224045100
7164311551341205
oct23163620771234
94608242086570
101321210213020
1146a35a7a3165
12194086763790
1397788431049
1447d3849c5ac
152457b047b30
hex1339e43f29c

1321210213020 has 144 divisors (see below), whose sum is σ = 4078152606528. Its totient is φ = 346140103680.

The previous prime is 1321210213009. The next prime is 1321210213031. The reversal of 1321210213020 is 203120121231.

1321210213020 is a `hidden beast` number, since 1 + 321 + 21 + 0 + 21 + 302 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1321210213009) and next prime (1321210213031).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1321210212984 and 1321210213002.

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, 9339657 + ... + 9480063.

It is an arithmetic number, because the mean of its divisors is an integer number (28320504212).

Almost surely, 21321210213020 is an apocalyptic number.

1321210213020 is a gapful number since it is divisible by the number (10) 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 1321210213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039076303264).

1321210213020 is an abundant number, since it is smaller than the sum of its proper divisors (2756942393508).

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

1321210213020 is a wasteful number, since it uses less digits than its factorization.

1321210213020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141340 (or 141335 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1321210213020 its reverse (203120121231), we get a palindrome (1524330334251).

The spelling of 1321210213020 in words is "one trillion, three hundred twenty-one billion, two hundred ten million, two hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 857 915 1098 1220 1714 1830 2196 2571 2745 3428 3660 4285 5142 5490 7713 8570 10284 10980 12855 15426 17140 25710 30852 38565 51420 52277 77130 104554 140407 154260 156831 209108 261385 280814 313662 421221 470493 522770 561628 627324 702035 784155 842442 940986 1045540 1263663 1404070 1568310 1684884 1881972 2106105 2352465 2527326 2808140 3136620 4212210 4704930 5054652 6318315 8424420 8564827 9409860 12636630 17129654 25273260 25694481 34259308 42824135 51388962 77083443 85648270 102777924 120328799 128472405 154166886 171296540 240657598 256944810 308333772 360986397 385417215 481315196 513889620 601643995 721972794 770834430 1082959191 1203287990 1443945588 1541668860 1804931985 2165918382 2406575980 3609863970 4331836764 5414795955 7219727940 7340056739 10829591910 14680113478 21659183820 22020170217 29360226956 36700283695 44040340434 66060510651 73400567390 88080680868 110100851085 132121021302 146801134780 220201702170 264242042604 330302553255 440403404340 660605106510 1321210213020