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1010012214132 = 22321011657167641
BaseRepresentation
bin11101011001010010110…
…10110101001101110100
310120120000111011121020200
432230221122311031310
5113022001111323012
62051554311000500
7132654021111465
oct16545132651564
93516014147220
101010012214132
1135a386622629
121438b7069130
13743226715bc
1436c56068d6c
151b4157383dc
hexeb296b5374

1010012214132 has 72 divisors (see below), whose sum is σ = 2579935946952. Its totient is φ = 333134208000.

The previous prime is 1010012214091. The next prime is 1010012214161. The reversal of 1010012214132 is 2314122100101.

It can be written as a sum of positive squares in 4 ways, for example, as 202235486436 + 807776727696 = 449706^2 + 898764^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5941032 + ... + 6108672.

Almost surely, 21010012214132 is an apocalyptic number.

1010012214132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010012214132 is an abundant number, since it is smaller than the sum of its proper divisors (1569923732820).

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

1010012214132 is a wasteful number, since it uses less digits than its factorization.

1010012214132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169409 (or 169404 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1010012214132 its reverse (2314122100101), we get a palindrome (3324134314233).

The spelling of 1010012214132 in words is "one trillion, ten billion, twelve million, two hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1657 1818 3314 3636 4971 6628 9942 14913 19884 29826 59652 167357 167641 334714 335282 502071 502923 669428 670564 1004142 1005846 1506213 1508769 2008284 2011692 3012426 3017538 6024852 6035076 16931741 33863482 50795223 67726964 101590446 152385669 203180892 277781137 304771338 555562274 609542676 833343411 1111124548 1666686822 2500030233 3333373644 5000060466 10000120932 28055894837 56111789674 84167684511 112223579348 168335369022 252503053533 336670738044 505006107066 1010012214132