Search a number
-
+
1020010211010 = 2325715110722277
BaseRepresentation
bin11101101011111010101…
…10001010011011000010
310121111211021011110121100
432311331112022123002
5113202440103223020
62100330342435230
7133456542511440
oct16657526123302
93544737143540
101020010211010
1136364719966a
12145827432b16
1375256b0a09b
1437523c29b90
151b7ed34ca90
hexed7d58a6c2

1020010211010 has 96 divisors (see below), whose sum is σ = 3050959871232. Its totient is φ = 231601161600.

The previous prime is 1020010210963. The next prime is 1020010211029. The reversal of 1020010211010 is 101120100201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1020010210983 and 1020010211001.

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, 5266009 + ... + 5456268.

It is an arithmetic number, because the mean of its divisors is an integer number (31780831992).

Almost surely, 21020010211010 is an apocalyptic number.

1020010211010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020010211010 is an abundant number, since it is smaller than the sum of its proper divisors (2030949660222).

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

1020010211010 is a wasteful number, since it uses less digits than its factorization.

1020010211010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10722448 (or 10722445 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1020010211010 its reverse (101120100201), we get a palindrome (1121130311211).

The spelling of 1020010211010 in words is "one trillion, twenty billion, ten million, two hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 151 210 302 315 453 630 755 906 1057 1359 1510 2114 2265 2718 3171 4530 5285 6342 6795 9513 10570 13590 15855 19026 31710 47565 95130 10722277 21444554 32166831 53611385 64333662 75055939 96500493 107222770 150111878 160834155 193000986 225167817 321668310 375279695 450335634 482502465 675503451 750559390 965004930 1125839085 1351006902 1619063827 2251678170 3238127654 3377517255 4857191481 6755034510 8095319135 9714382962 11333446789 14571574443 16190638270 22666893578 24285957405 29143148886 34000340367 48571914810 56667233945 68000680734 72857872215 102001021101 113334467890 145715744430 170001701835 204002042202 340003403670 510005105505 1020010211010