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202101002070 = 235112364341411
BaseRepresentation
bin1011110000111000101…
…0001000111101010110
3201022122202200122111220
42330032022020331112
511302400324031240
6232502141511210
720413152113322
oct2741612107526
9638582618456
10202101002070
117878a824150
1233203272506
131609a69b176
149ad314c982
1553ccb385d0
hex2f0e288f56

202101002070 has 128 divisors (see below), whose sum is σ = 553015185408. Its totient is φ = 46789987200.

The previous prime is 202101002069. The next prime is 202101002101. The reversal of 202101002070 is 70200101202.

202101002070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4859665 + ... + 4901075.

It is an arithmetic number, because the mean of its divisors is an integer number (4320431136).

Almost surely, 2202101002070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202101002070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276507592704).

202101002070 is an abundant number, since it is smaller than the sum of its proper divisors (350914183338).

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

202101002070 is a wasteful number, since it uses less digits than its factorization.

202101002070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42098.

The product of its (nonzero) digits is 56, while the sum is 15.

Adding to 202101002070 its reverse (70200101202), we get a palindrome (272301103272).

The spelling of 202101002070 in words is "two hundred two billion, one hundred one million, two thousand, seventy".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 506 643 690 759 1265 1286 1518 1929 2530 3215 3795 3858 6430 7073 7590 9645 14146 14789 19290 21219 29578 35365 41411 42438 44367 70730 73945 82822 88734 106095 124233 147890 162679 207055 212190 221835 248466 325358 414110 443670 455521 488037 621165 813395 911042 952453 976074 1242330 1366563 1626790 1904906 2277605 2440185 2733126 2857359 4555210 4762265 4880370 5714718 6832815 9524530 10476983 13665630 14286795 20953966 26627273 28573590 31430949 52384915 53254546 62861898 79881819 104769830 133136365 157154745 159763638 266272730 292900003 314309490 399409095 585800006 612427279 798818190 878700009 1224854558 1464500015 1757400018 1837281837 2929000030 3062136395 3674563674 4393500045 6124272790 6736700069 8787000090 9186409185 13473400138 18372818370 20210100207 33683500345 40420200414 67367000690 101050501035 202101002070