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2000101112320 = 29531107235541
BaseRepresentation
bin11101000110101111010…
…100001111101000000000
321002012121111002212222211
4131012233110033220000
5230232201341043240
64130500032111504
7264334240642123
oct35065724175000
97065544085884
102000101112320
11701268a31a93
12283771995594
131167bb4a724c
146cb3c0903ba
1537061d01bea
hex1d1af50fa00

2000101112320 has 160 divisors (see below), whose sum is σ = 4996535486976. Its totient is φ = 766993612800.

The previous prime is 2000101112293. The next prime is 2000101112323. The reversal of 2000101112320 is 232111010002.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 2000101112320.

It is not an unprimeable number, because it can be changed into a prime (2000101112323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8373750 + ... + 8609290.

Almost surely, 22000101112320 is an apocalyptic number.

2000101112320 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 2000101112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498267743488).

2000101112320 is an abundant number, since it is smaller than the sum of its proper divisors (2996434374656).

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

2000101112320 is a wasteful number, since it uses less digits than its factorization.

2000101112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235702 (or 235686 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2000101112320 its reverse (232111010002), we get a palindrome (2232212122322).

The spelling of 2000101112320 in words is "two trillion, one hundred one million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 107 124 128 155 160 214 248 256 310 320 428 496 512 535 620 640 856 992 1070 1240 1280 1712 1984 2140 2480 2560 3317 3424 3968 4280 4960 6634 6848 7936 8560 9920 13268 13696 15872 16585 17120 19840 26536 27392 33170 34240 39680 53072 54784 66340 68480 79360 106144 132680 136960 212288 235541 265360 273920 424576 471082 530720 849152 942164 1061440 1177705 1698304 1884328 2122880 2355410 3768656 4245760 4710820 7301771 7537312 8491520 9421640 14603542 15074624 18843280 25202887 29207084 30149248 36508855 37686560 50405774 58414168 60298496 73017710 75373120 100811548 116828336 120596992 126014435 146035420 150746240 201623096 233656672 252028870 292070840 301492480 403246192 467313344 504057740 584141680 602984960 781289497 806492384 934626688 1008115480 1168283360 1562578994 1612984768 1869253376 2016230960 2336566720 3125157988 3225969536 3738506752 3906447485 4032461920 4673133440 6250315976 6451939072 7812894970 8064923840 9346266880 12500631952 12903878144 15625789940 16129847680 18692533760 25001263904 31251579880 32259695360 50002527808 62503159760 64519390720 100005055616 125006319520 200010111232 250012639040 400020222464 500025278080 1000050556160 2000101112320