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20220010100000 = 2555683296047
BaseRepresentation
bin1001001100011110101101…
…00001001111010100100000
32122121000101021021120222222
410212033112201033110200
510122241040041200000
6111000535554050212
74154563462016564
oct446172641172440
978530337246888
1020220010100000
116496292626567
122326934579968
13b3897b105a69
144dc921ad36a4
15250e7edbda85
hex1263d684f520

20220010100000 has 144 divisors (see below), whose sum is σ = 49830015424896. Its totient is φ = 8076134880000.

The previous prime is 20220010099921. The next prime is 20220010100027. The reversal of 20220010100000 is 101002202.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68151977 + ... + 68448023.

It is an arithmetic number, because the mean of its divisors is an integer number (346041773784).

Almost surely, 220220010100000 is an apocalyptic number.

20220010100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20220010100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24915007712448).

20220010100000 is an abundant number, since it is smaller than the sum of its proper divisors (29610005324896).

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

20220010100000 is an frugal number, since it uses more digits than its factorization.

20220010100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296765 (or 296737 counting only the distinct ones).

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

Adding to 20220010100000 its reverse (101002202), we get a palindrome (20220111102202).

The spelling of 20220010100000 in words is "twenty trillion, two hundred twenty billion, ten million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 683 800 1000 1250 1366 2000 2500 2732 3125 3415 4000 5000 5464 6250 6830 10000 10928 12500 13660 17075 20000 21856 25000 27320 34150 50000 54640 68300 85375 100000 109280 136600 170750 273200 296047 341500 426875 546400 592094 683000 853750 1184188 1366000 1480235 1707500 2134375 2368376 2732000 2960470 3415000 4268750 4736752 5920940 6830000 7401175 8537500 9473504 11841880 13660000 14802350 17075000 23683760 29604700 34150000 37005875 47367520 59209400 68300000 74011750 118418800 148023500 185029375 202200101 236837600 296047000 370058750 404400202 592094000 740117500 808800404 925146875 1011000505 1184188000 1480235000 1617600808 1850293750 2022001010 2960470000 3235201616 3700587500 4044002020 5055002525 5920940000 6470403232 7401175000 8088004040 10110005050 14802350000 16176008080 20220010100 25275012625 29604700000 32352016160 40440020200 50550025250 80880040400 101100050500 126375063125 161760080800 202200101000 252750126250 404400202000 505500252500 631875315625 808800404000 1011000505000 1263750631250 2022001010000 2527501262500 4044002020000 5055002525000 10110005050000 20220010100000