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101133020202000 = 24353148711335241
BaseRepresentation
bin10110111111101011011101…
…101111101000010000010000
3111021002020000001201100122220
4112333223131233220100100
5101223430411132431000
6555031511301501040
730205422343021263
oct2677533557502020
9437066001640586
10101133020202000
112a25130040a706
12b41430ba11780
134457a58c21b87
141ad8c158a8cda
15ba5a7e0ce1a0
hex5bfaddbe8410

101133020202000 has 160 divisors (see below), whose sum is σ = 326272154817024. Its totient is φ = 26950666624000.

The previous prime is 101133020201963. The next prime is 101133020202007. The reversal of 101133020202000 is 202020331101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (101133020202007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3254380 + ... + 14589620.

Almost surely, 2101133020202000 is an apocalyptic number.

101133020202000 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 101133020202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163136077408512).

101133020202000 is an abundant number, since it is smaller than the sum of its proper divisors (225139134615024).

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

101133020202000 is a wasteful number, since it uses less digits than its factorization.

101133020202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11336754 (or 11336738 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101133020202000 its reverse (202020331101), we get a palindrome (101335040533101).

The spelling of 101133020202000 in words is "one hundred one trillion, one hundred thirty-three billion, twenty million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1487 1500 2000 2974 3000 4461 5948 6000 7435 8922 11896 14870 17844 22305 23792 29740 35688 37175 44610 59480 71376 74350 89220 111525 118960 148700 178440 185875 223050 297400 356880 371750 446100 557625 594800 743500 892200 1115250 1487000 1784400 2230500 2974000 4461000 8922000 11335241 22670482 34005723 45340964 56676205 68011446 90681928 113352410 136022892 170028615 181363856 226704820 272045784 283381025 340057230 453409640 544091568 566762050 680114460 850143075 906819280 1133524100 1360228920 1416905125 1700286150 2267048200 2720457840 2833810250 3400572300 4250715375 4534096400 5667620500 6801144600 8501430750 11335241000 13602289200 16855503367 17002861500 22670482000 33711006734 34005723000 50566510101 67422013468 68011446000 84277516835 101133020202 134844026936 168555033670 202266040404 252832550505 269688053872 337110067340 404532080808 421387584175 505665101010 674220134680 809064161616 842775168350 1011330202020 1264162752525 1348440269360 1685550336700 2022660404040 2106937920875 2528325505050 3371100673400 4045320808080 4213875841750 5056651010100 6320813762625 6742201346800 8427751683500 10113302020200 12641627525250 16855503367000 20226604040400 25283255050500 33711006734000 50566510101000 101133020202000