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2100192990 = 2357831011193
BaseRepresentation
bin111110100101110…
…0110011011011110
312102100212212011120
41331023212123132
513300122133430
6544222231410
7103021226430
oct17513463336
95370785146
102100192990
11988560095
124a7425566
1327615795c
1415ccda650
15c45a4610
hex7d2e66de

2100192990 has 128 divisors (see below), whose sum is σ = 5892590592. Its totient is φ = 469171200.

The previous prime is 2100192977. The next prime is 2100193003. The reversal of 2100192990 is 992910012.

It is an interprime number because it is at equal distance from previous prime (2100192977) and next prime (2100193003).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1759834 + ... + 1761026.

It is an arithmetic number, because the mean of its divisors is an integer number (46035864).

Almost surely, 22100192990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100192990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946295296).

2100192990 is an abundant number, since it is smaller than the sum of its proper divisors (3792397602).

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

2100192990 is a wasteful number, since it uses less digits than its factorization.

2100192990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394.

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 2100192990 is about 45827.8625947141. The cubic root of 2100192990 is about 1280.6183921943.

The spelling of 2100192990 in words is "two billion, one hundred million, one hundred ninety-two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 83 101 105 166 202 210 249 303 415 498 505 581 606 707 830 1010 1162 1193 1245 1414 1515 1743 2121 2386 2490 2905 3030 3486 3535 3579 4242 5810 5965 7070 7158 8351 8383 8715 10605 11930 16702 16766 17430 17895 21210 25053 25149 35790 41755 41915 50106 50298 58681 83510 83830 99019 117362 120493 125265 125745 176043 198038 240986 250530 251490 293405 297057 352086 361479 495095 586810 594114 602465 693133 722958 843451 880215 990190 1204930 1386266 1485285 1686902 1760430 1807395 2079399 2530353 2970570 3465665 3614790 4158798 4217255 5060706 6931330 8434510 10000919 10396995 12651765 20001838 20793990 25303530 30002757 50004595 60005514 70006433 100009190 140012866 150013785 210019299 300027570 350032165 420038598 700064330 1050096495 2100192990