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1002021011200 = 28521114233253
BaseRepresentation
bin11101001010011010001…
…10110011111100000000
310112210101120022102122201
432211031012303330000
5112404114334324300
62044153323442544
7132252005030656
oct16451506637400
93483346272581
101002021011200
11356a55813590
12142246986454
137364abbb661
14366d8a10dd6
151b0e8dc966a
hexe94d1b3f00

1002021011200 has 108 divisors (see below), whose sum is σ = 2705627719368. Its totient is φ = 364371251200.

The previous prime is 1002021011153. The next prime is 1002021011203. The reversal of 1002021011200 is 21101202001.

It is a super-2 number, since 2×10020210112002 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002021011203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7046227 + ... + 7187026.

Almost surely, 21002021011200 is an apocalyptic number.

1002021011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002021011200 is an abundant number, since it is smaller than the sum of its proper divisors (1703606708168).

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

1002021011200 is a wasteful number, since it uses less digits than its factorization.

1002021011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14233290 (or 14233271 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1002021011200 its reverse (21101202001), we get a palindrome (1023122213201).

The spelling of 1002021011200 in words is "one trillion, two billion, twenty-one million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 256 275 320 352 400 440 550 640 704 800 880 1100 1280 1408 1600 1760 2200 2816 3200 3520 4400 6400 7040 8800 14080 17600 35200 70400 14233253 28466506 56933012 71166265 113866024 142332530 156565783 227732048 284665060 313131566 355831325 455464096 569330120 626263132 711662650 782828915 910928192 1138660240 1252526264 1423325300 1565657830 1821856384 2277320480 2505052528 2846650600 3131315660 3643712768 3914144575 4554640960 5010105056 5693301200 6262631320 7828289150 9109281920 10020210112 11386602400 12525262640 15656578300 18218563840 20040420224 22773204800 25050525280 31313156600 40080840448 45546409600 50101050560 62626313200 91092819200 100202101120 125252626400 200404202240 250505252800 501010505600 1002021011200