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1001002220200 = 235231433754697
BaseRepresentation
bin11101001000100000110…
…00011011101010101000
310112200202120021111010201
432210100120123222220
5112400023032021300
62043504251321544
7132214524324553
oct16442030335250
93480676244121
101001002220200
11356582725854
121420017502b4
1373517b02448
143663d5b169a
151b08973566a
hexe91061baa8

1001002220200 has 96 divisors (see below), whose sum is σ = 2458275874560. Its totient is φ = 378473356800.

The previous prime is 1001002220191. The next prime is 1001002220209. The reversal of 1001002220200 is 20222001001.

It is an interprime number because it is at equal distance from previous prime (1001002220191) and next prime (1001002220209).

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 (1001002220209) 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 23 ways as a sum of consecutive naturals, for example, 1610749 + ... + 2143948.

It is an arithmetic number, because the mean of its divisors is an integer number (25607040360).

Almost surely, 21001002220200 is an apocalyptic number.

1001002220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001002220200 is an abundant number, since it is smaller than the sum of its proper divisors (1457273654360).

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

1001002220200 is a wasteful number, since it uses less digits than its factorization.

1001002220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754787 (or 3754778 counting only the distinct ones).

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

Adding to 1001002220200 its reverse (20222001001), we get a palindrome (1021224221201).

The spelling of 1001002220200 in words is "one trillion, one billion, two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 43 50 62 86 100 124 155 172 200 215 248 310 344 430 620 775 860 1075 1240 1333 1550 1720 2150 2666 3100 4300 5332 6200 6665 8600 10664 13330 26660 33325 53320 66650 133300 266600 3754697 7509394 15018788 18773485 30037576 37546970 75093940 93867425 116395607 150187880 161451971 187734850 232791214 322903942 375469700 465582428 581978035 645807884 750939400 807259855 931164856 1163956070 1291615768 1614519710 2327912140 2909890175 3229039420 4036299275 4655824280 5005011101 5819780350 6458078840 8072598550 10010022202 11639560700 16145197100 20020044404 23279121400 25025055505 32290394200 40040088808 50050111010 100100222020 125125277525 200200444040 250250555050 500501110100 1001002220200