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2100211220096 = 271137101399151
BaseRepresentation
bin11110100011111110010…
…101111111111010000000
321102210000022221021201022
4132203332111333322000
5233402213033020341
64244453531125012
7304510122551423
oct36437625777200
97383008837638
102100211220096
1173a770532750
1229b0505a3768
13123083a59102
14739179b39ba
1539970a3ae4b
hex1e8fe57fe80

2100211220096 has 128 divisors (see below), whose sum is σ = 4734166245120. Its totient is φ = 919641600000.

The previous prime is 2100211220057. The next prime is 2100211220227. The reversal of 2100211220096 is 6900221120012.

It is a tau number, because it is divible by the number of its divisors (128).

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, 5062121 + ... + 5461271.

It is an arithmetic number, because the mean of its divisors is an integer number (36985673790).

Almost surely, 22100211220096 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 2100211220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367083122560).

2100211220096 is an abundant number, since it is smaller than the sum of its proper divisors (2633955025024).

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

2100211220096 is a wasteful number, since it uses less digits than its factorization.

2100211220096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399314 (or 399302 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 2100211220096 in words is "two trillion, one hundred billion, two hundred eleven million, two hundred twenty thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 101 128 148 176 202 296 352 404 407 592 704 808 814 1111 1184 1408 1616 1628 2222 2368 3232 3256 3737 4444 4736 6464 6512 7474 8888 12928 13024 14948 17776 26048 29896 35552 41107 52096 59792 71104 82214 119584 142208 164428 239168 328856 399151 478336 657712 798302 1315424 1596604 2630848 3193208 4390661 5261696 6386416 8781322 12772832 14768587 17562644 25545664 29537174 35125288 40314251 51091328 59074348 70250576 80628502 118148696 140501152 161257004 162454457 236297392 281002304 322514008 324908914 443456761 472594784 562004608 645028016 649817828 886913522 945189568 1290056032 1299635656 1491627287 1773827044 1890379136 2580112064 2599271312 2983254574 3547654088 5160224128 5198542624 5966509148 7095308176 10397085248 11933018296 14190616352 16407900157 20794170496 23866036592 28381232704 32815800314 47732073184 56762465408 65631600628 95464146368 131263201256 190928292736 262526402512 525052805024 1050105610048 2100211220096