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1001222100020 = 2254133714272539
BaseRepresentation
bin11101001000111010111…
…11001101010000110100
310112201022220000112112202
432210131133031100310
5112401000324200040
62043542144204032
7132223134300602
oct16443537152064
93481286015482
101001222100020
1135668585680a
12142063309618
137355152a24c
143666088a872
151b09dbba015
hexe91d7cd434

1001222100020 has 96 divisors (see below), whose sum is σ = 2162605011840. Its totient is φ = 389135093760.

The previous prime is 1001222099993. The next prime is 1001222100037. The reversal of 1001222100020 is 200012221001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1001222099974 and 1001222100010.

It is a congruent number.

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, 394335911 + ... + 394338449.

It is an arithmetic number, because the mean of its divisors is an integer number (22527135540).

Almost surely, 21001222100020 is an apocalyptic number.

1001222100020 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 1001222100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081302505920).

1001222100020 is an abundant number, since it is smaller than the sum of its proper divisors (1161382911820).

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

1001222100020 is a wasteful number, since it uses less digits than its factorization.

1001222100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4353 (or 4351 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1001222100020 its reverse (200012221001), we get a palindrome (1201234321021).

The spelling of 1001222100020 in words is "one trillion, one billion, two hundred twenty-two million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 337 410 674 820 1348 1427 1685 2539 2854 3370 5078 5708 6740 7135 10156 12695 13817 14270 25390 27634 28540 50780 55268 58507 69085 104099 117014 138170 208198 234028 276340 292535 416396 480899 520495 585070 855643 961798 1040990 1170140 1711286 1923596 2081980 2404495 3422572 3623153 4278215 4808990 7246306 8556430 9617980 14492612 17112860 18115765 19716859 35081363 36231530 39433718 70162726 72463060 78867436 98584295 140325452 148549273 175406815 197168590 297098546 350813630 394337180 594197092 701627260 742746365 1221002561 1485492730 2442005122 2970985460 4884010244 6105012805 12210025610 24420051220 50061105001 100122210002 200244420004 250305525005 500611050010 1001222100020