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121031332020 = 2232543101154823
BaseRepresentation
bin111000010111000000…
…1111001000010110100
3102120101212210201001200
41300232001321002310
53440333010111040
6131333453252500
711513161230204
oct1605601710264
9376355721050
10121031332020
1147369039135
121b559194130
13b54aa748c1
145c022cc404
1532357c5630
hex1c2e0790b4

121031332020 has 144 divisors (see below), whose sum is σ = 379388161152. Its totient is φ = 31212115200.

The previous prime is 121031331947. The next prime is 121031332043. The reversal of 121031332020 is 20233130121.

121031332020 is a `hidden beast` number, since 1 + 2 + 10 + 313 + 320 + 20 = 666.

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 = 121031331984 and 121031332002.

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, 704329 + ... + 859151.

It is an arithmetic number, because the mean of its divisors is an integer number (2634640008).

Almost surely, 2121031332020 is an apocalyptic number.

121031332020 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 121031332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189694080576).

121031332020 is an abundant number, since it is smaller than the sum of its proper divisors (258356829132).

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

121031332020 is a wasteful number, since it uses less digits than its factorization.

121031332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154982 (or 154977 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 121031332020 its reverse (20233130121), we get a palindrome (141264462141).

The spelling of 121031332020 in words is "one hundred twenty-one billion, thirty-one million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 101 129 172 180 202 215 258 303 387 404 430 505 516 606 645 774 860 909 1010 1212 1290 1515 1548 1818 1935 2020 2580 3030 3636 3870 4343 4545 6060 7740 8686 9090 13029 17372 18180 21715 26058 39087 43430 52116 65145 78174 86860 130290 154823 156348 195435 260580 309646 390870 464469 619292 774115 781740 928938 1393407 1548230 1857876 2322345 2786814 3096460 4644690 5573628 6657389 6967035 9289380 13314778 13934070 15637123 19972167 26629556 27868140 31274246 33286945 39944334 46911369 59916501 62548492 66573890 78185615 79888668 93822738 99860835 119833002 133147780 140734107 156371230 187645476 199721670 234556845 239666004 281468214 299582505 312742460 399443340 469113690 562936428 599165010 672396289 703670535 938227380 1198330020 1344792578 1407341070 2017188867 2689585156 2814682140 3361981445 4034377734 6051566601 6723962890 8068755468 10085944335 12103133202 13447925780 20171888670 24206266404 30257833005 40343777340 60515666010 121031332020