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2022001102000 = 245311312964811
BaseRepresentation
bin11101011011001000101…
…010000100110010110000
321011022010201210122002201
4131123020222010302300
5231112024240231000
64144521112552544
7266041033533415
oct35331052046260
97138121718081
102022001102000
1170a5869aa410
12287a640b2754
1311889b6b0b19
146dc1883a10c
15378e477796a
hex1d6c8a84cb0

2022001102000 has 160 divisors (see below), whose sum is σ = 5505727039488. Its totient is φ = 711554400000.

The previous prime is 2022001101997. The next prime is 2022001102001. The reversal of 2022001102000 is 2011002202.

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 (2022001102001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 800406 + ... + 2164405.

Almost surely, 22022001102000 is an apocalyptic number.

2022001102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022001102000 is an abundant number, since it is smaller than the sum of its proper divisors (3483725937488).

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

2022001102000 is a wasteful number, since it uses less digits than its factorization.

2022001102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964876 (or 2964860 counting only the distinct ones).

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

Adding to 2022001102000 its reverse (2011002202), we get a palindrome (2024012104202).

The spelling of 2022001102000 in words is "two trillion, twenty-two billion, one million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 31 40 44 50 55 62 80 88 100 110 124 125 155 176 200 220 248 250 275 310 341 400 440 496 500 550 620 682 775 880 1000 1100 1240 1364 1375 1550 1705 2000 2200 2480 2728 2750 3100 3410 3875 4400 5456 5500 6200 6820 7750 8525 11000 12400 13640 15500 17050 22000 27280 31000 34100 42625 62000 68200 85250 136400 170500 341000 682000 2964811 5929622 11859244 14824055 23718488 29648110 32612921 47436976 59296220 65225842 74120275 91909141 118592440 130451684 148240550 163064605 183818282 237184880 260903368 296481100 326129210 367636564 370601375 459545705 521806736 592962200 652258420 735273128 741202750 815323025 919091410 1011000551 1185924400 1304516840 1470546256 1482405500 1630646050 1838182820 2022001102 2297728525 2609033680 2964811000 3261292100 3676365640 4044002204 4076615125 4595457050 5055002755 5929622000 6522584200 7352731280 8088004408 8153230250 9190914100 10110005510 11488642625 13045168400 16176008816 16306460500 18381828200 20220011020 22977285250 25275013775 32612921000 36763656400 40440022040 45954570500 50550027550 65225842000 80880044080 91909141000 101100055100 126375068875 183818282000 202200110200 252750137750 404400220400 505500275500 1011000551000 2022001102000