Search a number
-
+
1020300002010 = 2325293710565393
BaseRepresentation
bin11101101100011101001…
…11101000001011011010
310121112120110110101010100
432312032213220023122
5113204033300031020
62100415214000230
7133466661631242
oct16661647501332
93545513411110
101020300002010
1136378582a963
121458a84a6076
13752a1b72153
1437550502b22
151b8189e1a90
hexed8e9e82da

1020300002010 has 96 divisors (see below), whose sum is σ = 2818424503440. Its totient is φ = 255597963264.

The previous prime is 1020300001999. The next prime is 1020300002027. The reversal of 1020300002010 is 102000030201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 395016021009 + 625283981001 = 628503^2 + 790749^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1020300001983 and 1020300002001.

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, 5186127 + ... + 5379266.

Almost surely, 21020300002010 is an apocalyptic number.

1020300002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020300002010 is an abundant number, since it is smaller than the sum of its proper divisors (1798124501430).

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

1020300002010 is a wasteful number, since it uses less digits than its factorization.

1020300002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10565472 (or 10565469 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 1020300002010 its reverse (102000030201), we get a palindrome (1122300032211).

The spelling of 1020300002010 in words is "one trillion, twenty billion, three hundred million, two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 37 45 58 74 87 90 111 145 174 185 222 261 290 333 370 435 522 555 666 870 1073 1110 1305 1665 2146 2610 3219 3330 5365 6438 9657 10730 16095 19314 32190 48285 96570 10565393 21130786 31696179 52826965 63392358 95088537 105653930 158480895 190177074 306396397 316961790 390919541 475442685 612792794 781839082 919189191 950885370 1172758623 1531981985 1838378382 1954597705 2345517246 2757567573 3063963970 3518275869 3909195410 4595945955 5515135146 5863793115 7036551738 9191891910 11336666689 11727586230 13787837865 17591379345 22673333378 27575675730 34010000067 35182758690 56683333445 68020000134 102030000201 113366666890 170050000335 204060000402 340100000670 510150001005 1020300002010