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1010001212010 = 2325714511104877
BaseRepresentation
bin11101011001010001100…
…00110111001001101010
310120112222201110122011200
432230220300313021222
5113021440302241020
62051553235105030
7132653525436360
oct16545060671152
93515881418150
101010001212010
1135a38039856a
121438b3442176
13743202bb87b
1436c54803630
151b4147b3590
hexeb28c3726a

1010001212010 has 96 divisors (see below), whose sum is σ = 3003217506432. Its totient is φ = 230698108800.

The previous prime is 1010001212009. The next prime is 1010001212021. The reversal of 1010001212010 is 102121000101.

It is a happy number.

1010001212010 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 (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1010001211983 and 1010001212001.

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, 361692 + ... + 1466568.

It is an arithmetic number, because the mean of its divisors is an integer number (31283515692).

Almost surely, 21010001212010 is an apocalyptic number.

1010001212010 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 1010001212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501608753216).

1010001212010 is an abundant number, since it is smaller than the sum of its proper divisors (1993216294422).

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

1010001212010 is a wasteful number, since it uses less digits than its factorization.

1010001212010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106348 (or 1106345 counting only the distinct ones).

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

Adding to 1010001212010 its reverse (102121000101), we get a palindrome (1112122212111).

It can be divided in two parts, 101000 and 1212010, that added together give a triangular number (1313010 = T1620).

The spelling of 1010001212010 in words is "one trillion, ten billion, one million, two hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1451 2902 4353 7255 8706 10157 13059 14510 20314 21765 26118 30471 43530 50785 60942 65295 91413 101570 130590 152355 182826 304710 457065 914130 1104877 2209754 3314631 5524385 6629262 7734139 9943893 11048770 15468278 16573155 19887786 23202417 33146310 38670695 46404834 49719465 69607251 77341390 99438930 116012085 139214502 232024170 348036255 696072510 1603176527 3206353054 4809529581 8015882635 9619059162 11222235689 14428588743 16031765270 22444471378 24047647905 28857177486 33666707067 48095295810 56111178445 67333414134 72142943715 101000121201 112222356890 144285887430 168333535335 202000242402 336667070670 505000606005 1010001212010