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1002020220992 = 267191131041757
BaseRepresentation
bin11101001010011010000…
…11110011000001000000
310112210101111211021200202
432211031003303001000
5112404114134032432
62044153254504332
7132251665230110
oct16451503630100
93483344737622
101002020220992
11356a5532391a
121422466650a8
137364a9a2a8b
14366d8887040
151b0e8cc0462
hexe94d0f3040

1002020220992 has 112 divisors (see below), whose sum is σ = 2413211571840. Its totient is φ = 403234578432.

The previous prime is 1002020220983. The next prime is 1002020221009. The reversal of 1002020220992 is 2990220202001.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440978 + ... + 1482734.

Almost surely, 21002020220992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002020220992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206605785920).

1002020220992 is an abundant number, since it is smaller than the sum of its proper divisors (1411191350848).

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

1002020220992 is a wasteful number, since it uses less digits than its factorization.

1002020220992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041908 (or 1041898 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

Adding to 1002020220992 its reverse (2990220202001), we get a palindrome (3992240422993).

The spelling of 1002020220992 in words is "one trillion, two billion, twenty million, two hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 113 133 152 224 226 266 304 448 452 532 608 791 904 1064 1216 1582 1808 2128 2147 3164 3616 4256 4294 6328 7232 8512 8588 12656 15029 17176 25312 30058 34352 50624 60116 68704 120232 137408 240464 480928 961856 1041757 2083514 4167028 7292299 8334056 14584598 16668112 19793383 29169196 33336224 39586766 58338392 66672448 79173532 116676784 117718541 138553681 158347064 233353568 235437082 277107362 316694128 466707136 470874164 554214724 633388256 824029787 941748328 1108429448 1266776512 1648059574 1883496656 2216858896 2236652279 3296119148 3766993312 4433717792 4473304558 6592238296 7533986624 8867435584 8946609116 13184476592 15656565953 17893218232 26368953184 31313131906 35786436464 52737906368 62626263812 71572872928 125252527624 143145745856 250505055248 501010110496 1002020220992