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1002021222020 = 2257133491577539
BaseRepresentation
bin11101001010011010001…
…11100111011010000100
310112210101120201010211212
432211031013213122010
5112404114413101040
62044153332150552
7132252006566420
oct16451507473204
93483346633755
101002021222020
11356a55947a15
12142246a68458
137364ac635c0
14366d8a67b80
151b0e8e1bd65
hexe94d1e7684

1002021222020 has 96 divisors (see below), whose sum is σ = 2597261856000. Its totient is φ = 316214337024.

The previous prime is 1002021222017. The next prime is 1002021222067. The reversal of 1002021222020 is 202221202001.

1002021222020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1002021221986 and 1002021222004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153590 + ... + 1423949.

It is an arithmetic number, because the mean of its divisors is an integer number (27054811000).

Almost surely, 21002021222020 is an apocalyptic number.

1002021222020 is a gapful number since it is divisible by the number (10) 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 1002021222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298630928000).

1002021222020 is an abundant number, since it is smaller than the sum of its proper divisors (1595240633980).

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

1002021222020 is a wasteful number, since it uses less digits than its factorization.

1002021222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577917 (or 1577915 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1002021222020 its reverse (202221202001), we get a palindrome (1204242424021).

The spelling of 1002021222020 in words is "one trillion, two billion, twenty-one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 349 364 455 698 910 1396 1745 1820 2443 3490 4537 4886 6980 9074 9772 12215 18148 22685 24430 31759 45370 48860 63518 90740 127036 158795 317590 635180 1577539 3155078 6310156 7887695 11042773 15775390 20508007 22085546 31550780 41016014 44171092 55213865 82032028 102540035 110427730 143556049 205080070 220855460 287112098 410160140 550561111 574224196 717780245 1101122222 1435560490 2202244444 2752805555 2871120980 3853927777 5505611110 7157294443 7707855554 11011222220 14314588886 15415711108 19269638885 28629177772 35786472215 38539277770 50101061101 71572944430 77078555540 100202122202 143145888860 200404244404 250505305505 501010611010 1002021222020