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1020001210110 = 2325103239460387
BaseRepresentation
bin11101101011111001100…
…11110100111011111110
310121111210122020011200200
432311330303310323332
5113202430302210420
62100325421504330
7133456403142651
oct16657463647376
93544718204620
101020001210110
11363642101103
121458244120a6
1375254ca81cc
1437522965898
151b7ec670b90
hexed7ccf4efe

1020001210110 has 96 divisors (see below), whose sum is σ = 2688960568320. Its totient is φ = 268231932864.

The previous prime is 1020001210087. The next prime is 1020001210139. The reversal of 1020001210110 is 110121000201.

It is a happy number.

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 = 1020001210092 and 1020001210101.

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, 1985337 + ... + 2445723.

It is an arithmetic number, because the mean of its divisors is an integer number (28010005920).

Almost surely, 21020001210110 is an apocalyptic number.

1020001210110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020001210110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344480284160).

1020001210110 is an abundant number, since it is smaller than the sum of its proper divisors (1668959358210).

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

1020001210110 is a wasteful number, since it uses less digits than its factorization.

1020001210110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460742 (or 460739 counting only the distinct ones).

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

Adding to 1020001210110 its reverse (110121000201), we get a palindrome (1130122210311).

The spelling of 1020001210110 in words is "one trillion, twenty billion, one million, two hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 239 309 478 515 618 717 927 1030 1195 1434 1545 1854 2151 2390 3090 3585 4302 4635 7170 9270 10755 21510 24617 49234 73851 123085 147702 221553 246170 369255 443106 460387 738510 920774 1107765 1381161 2215530 2301935 2762322 4143483 4603870 6905805 8286966 13811610 20717415 41434830 47419861 94839722 110032493 142259583 220064986 237099305 284519166 330097479 426778749 474198610 550162465 660194958 711297915 853557498 990292437 1100324930 1422595830 1650487395 1980584874 2133893745 3300974790 4267787490 4951462185 9902924370 11333346779 22666693558 34000040337 56666733895 68000080674 102000121011 113333467790 170000201685 204000242022 340000403370 510000605055 1020001210110