Search a number
-
+
3121203004020 = 223452367781373
BaseRepresentation
bin101101011010110110001…
…100100100001001110100
3102001101101000002211020000
4231122312030210021310
5402114210432112040
610345505540311300
7441333214535613
oct55326614441164
912041330084200
103121203004020
11aa37707a95a2
12424ab06a2530
13198436020b6a
14ab0d1d1187a
15562ca12a130
hex2d6b6324274

3121203004020 has 120 divisors (see below), whose sum is σ = 9791863292904. Its totient is φ = 832275419904.

The previous prime is 3121203004009. The next prime is 3121203004033. The reversal of 3121203004020 is 204003021213.

3121203004020 is a `hidden beast` number, since 312 + 12 + 0 + 300 + 40 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 750576184164 + 2370626819856 = 866358^2 + 1539684^2 .

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 = 3121203003984 and 3121203004002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38316054 + ... + 38397426.

Almost surely, 23121203004020 is an apocalyptic number.

3121203004020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3121203004020 is an abundant number, since it is smaller than the sum of its proper divisors (6670660288884).

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

3121203004020 is a wasteful number, since it uses less digits than its factorization.

3121203004020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105071 (or 105060 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 3121203004020 its reverse (204003021213), we get a palindrome (3325206025233).

The spelling of 3121203004020 in words is "three trillion, one hundred twenty-one billion, two hundred three million, four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 23677 47354 71031 81373 94708 118385 142062 162746 213093 236770 244119 284124 325492 355155 406865 426186 473540 488238 639279 710310 732357 813730 852372 976476 1065465 1220595 1278558 1420620 1464714 1627460 1917837 2130930 2197071 2441190 2557116 2929428 3196395 3661785 3835674 4261860 4394142 4882380 6392790 6591213 7323570 7671348 8788284 9589185 10985355 12785580 13182426 14647140 19178370 21970710 26364852 32956065 38356740 43941420 65912130 131824260 1926668521 3853337042 5780005563 7706674084 9633342605 11560011126 17340016689 19266685210 23120022252 28900027815 34680033378 38533370420 52020050067 57800055630 69360066756 86700083445 104040100134 115600111260 156060150201 173400166890 208080200268 260100250335 312120300402 346800333780 520200500670 624240600804 780300751005 1040401001340 1560601502010 3121203004020