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1002020212000 = 25531316319031
BaseRepresentation
bin11101001010011010000…
…11110000110100100000
310112210101111210211100201
432211031003300310200
5112404114133241000
62044153254354544
7132251665161643
oct16451503606440
93483344724321
101002020212000
11356a55318095
1214224665ba54
137364a99b962
14366d8883a5a
151b0e8cbc96a
hexe94d0f0d20

1002020212000 has 96 divisors (see below), whose sum is σ = 2462280073344. Its totient is φ = 400756576000.

The previous prime is 1002020211971. The next prime is 1002020212001. The reversal of 1002020212000 is 2120202001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1002020212001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52642485 + ... + 52661515.

It is an arithmetic number, because the mean of its divisors is an integer number (25648750764).

Almost surely, 21002020212000 is an apocalyptic number.

1002020212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002020212000 is an abundant number, since it is smaller than the sum of its proper divisors (1460259861344).

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

1002020212000 is a wasteful number, since it uses less digits than its factorization.

1002020212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32219 (or 32201 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1002020212000 its reverse (2120202001), we get a palindrome (1004140414001).

Subtracting from 1002020212000 its reverse (2120202001), we obtain a palindrome (999900009999).

The spelling of 1002020212000 in words is "one trillion, two billion, twenty million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 13163 19031 26326 38062 52652 65815 76124 95155 105304 131630 152248 190310 210608 263260 304496 329075 380620 421216 475775 526520 608992 658150 761240 951550 1053040 1316300 1522480 1645375 1903100 2106080 2378875 2632600 3044960 3290750 3806200 4757750 5265200 6581500 7612400 9515500 10530400 13163000 15224800 19031000 26326000 38062000 52652000 76124000 250505053 501010106 1002020212 1252525265 2004040424 2505050530 4008080848 5010101060 6262626325 8016161696 10020202120 12525252650 20040404240 25050505300 31313131625 40080808480 50101010600 62626263250 100202021200 125252526500 200404042400 250505053000 501010106000 1002020212000