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10132233202000 = 245371355671611
BaseRepresentation
bin1001001101110001100000…
…1010010010100101010000
31022212122001202022220200101
42103130120022102211100
52312001303144431000
633314403401302144
72064013120123540
oct223343012224520
938778052286611
1010132233202000
11325706854a938
121177840494954
135866088b7c50
1427058d039320
15128868d80e6a
hex93718292950

10132233202000 has 160 divisors (see below), whose sum is σ = 30153526550784. Its totient is φ = 3206684736000.

The previous prime is 10132233201983. The next prime is 10132233202043. The reversal of 10132233202000 is 20233223101.

It is a super-2 number, since 2×101322332020002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 27653806 + ... + 28017805.

Almost surely, 210132233202000 is an apocalyptic number.

10132233202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132233202000 is an abundant number, since it is smaller than the sum of its proper divisors (20021293348784).

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

10132233202000 is a wasteful number, since it uses less digits than its factorization.

10132233202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55671654 (or 55671638 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 10132233202000 its reverse (20233223101), we get a palindrome (10152466425101).

The spelling of 10132233202000 in words is "ten trillion, one hundred thirty-two billion, two hundred thirty-three million, two hundred two thousand".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 125 130 140 175 182 200 208 250 260 280 325 350 364 400 455 500 520 560 650 700 728 875 910 1000 1040 1300 1400 1456 1625 1750 1820 2000 2275 2600 2800 3250 3500 3640 4550 5200 6500 7000 7280 9100 11375 13000 14000 18200 22750 26000 36400 45500 91000 182000 55671611 111343222 222686444 278358055 389701277 445372888 556716110 723730943 779402554 890745776 1113432220 1391790275 1447461886 1558805108 1948506385 2226864440 2783580550 2894923772 3117610216 3618654715 3897012770 4453728880 5066116601 5567161100 5789847544 6235220432 6958951375 7237309430 7794025540 9742531925 10132233202 11134322200 11579695088 13917902750 14474618860 15588051080 18093273575 19485063850 20264466404 22268644400 25330583005 27835805500 28949237720 31176102160 36186547150 38970127700 40528932808 48712659625 50661166010 55671611000 57898475440 72373094300 77940255400 81057865616 90466367875 97425319250 101322332020 111343222000 126652915025 144746188600 155880510800 180932735750 194850638500 202644664040 253305830050 289492377200 361865471500 389701277000 405289328080 506611660100 633264575125 723730943000 779402554000 1013223320200 1266529150250 1447461886000 2026446640400 2533058300500 5066116601000 10132233202000