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20002120020 = 22335103359621
BaseRepresentation
bin10010101000001110…
…000010000101010100
31220121222111222101000
4102220032002011110
5311431020320040
613104442503300
71305446133501
oct225016020524
956558458330
1020002120020
118534747903
123a62804b30
131b69c6a89c
14d7a6b84a8
157c1039130
hex4a8382154

20002120020 has 96 divisors (see below), whose sum is σ = 62833155840. Its totient is φ = 5282098560.

The previous prime is 20002120001. The next prime is 20002120121. The reversal of 20002120020 is 2002120002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20002119984 and 20002120011.

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, 124191 + ... + 235430.

It is an arithmetic number, because the mean of its divisors is an integer number (654512040).

Almost surely, 220002120020 is an apocalyptic number.

20002120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20002120020 is an abundant number, since it is smaller than the sum of its proper divisors (42831035820).

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

20002120020 is a wasteful number, since it uses less digits than its factorization.

20002120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359742 (or 359734 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20002120020 its reverse (2002120002), we get a palindrome (22004240022).

The spelling of 20002120020 in words is "twenty billion, two million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 103 108 135 180 206 270 309 412 515 540 618 927 1030 1236 1545 1854 2060 2781 3090 3708 4635 5562 6180 9270 11124 13905 18540 27810 55620 359621 719242 1078863 1438484 1798105 2157726 3236589 3596210 4315452 5394315 6473178 7192420 9709767 10788630 12946356 16182945 19419534 21577260 32365890 37040963 38839068 48548835 64731780 74081926 97097670 111122889 148163852 185204815 194195340 222245778 333368667 370409630 444491556 555614445 666737334 740819260 1000106001 1111228890 1333474668 1666843335 2000212002 2222457780 3333686670 4000424004 5000530005 6667373340 10001060010 20002120020