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1011100010100 = 2235237113806107
BaseRepresentation
bin11101011011010100100…
…00011100011001110100
310120122211022001100210020
432231222100130121310
5113031213100310400
62052254250125140
7133023000165345
oct16555220343164
93518738040706
101011100010100
1135a894661864
12143b5b4207b0
1374466b3b45b
1436d1a70c0cc
151b47aead2a0
hexeb6a41c674

1011100010100 has 144 divisors (see below), whose sum is σ = 3031107955008. Its totient is φ = 260017551360.

The previous prime is 1011100010099. The next prime is 1011100010189. The reversal of 1011100010100 is 10100011101.

1011100010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 851247 + ... + 1657353.

Almost surely, 21011100010100 is an apocalyptic number.

1011100010100 is a gapful number since it is divisible by the number (10) 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 1011100010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515553977504).

1011100010100 is an abundant number, since it is smaller than the sum of its proper divisors (2020007944908).

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

1011100010100 is a wasteful number, since it uses less digits than its factorization.

1011100010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806274 (or 806267 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1011100010100 its reverse (10100011101), we get a palindrome (1021200021201).

The spelling of 1011100010100 in words is "one trillion, eleven billion, one hundred million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 113 148 150 185 222 226 300 339 370 444 452 555 565 678 740 925 1110 1130 1356 1695 1850 2220 2260 2775 2825 3390 3700 4181 5550 5650 6780 8362 8475 11100 11300 12543 16724 16950 20905 25086 33900 41810 50172 62715 83620 104525 125430 209050 250860 313575 418100 627150 806107 1254300 1612214 2418321 3224428 4030535 4836642 8061070 9673284 12091605 16122140 20152675 24183210 29825959 40305350 48366420 59651918 60458025 80610700 89477877 91090091 119303836 120916050 149129795 178955754 182180182 241832100 273270273 298259590 357911508 364360364 447389385 455450455 546540546 596519180 745648975 894778770 910900910 1093081092 1366351365 1491297950 1789557540 1821801820 2236946925 2277252275 2732702730 2982595900 3370333367 4473893850 4554504550 5465405460 6740666734 6831756825 8947787700 9109009100 10111000101 13481333468 13663513650 16851666835 20222000202 27327027300 33703333670 40444000404 50555000505 67406667340 84258334175 101110001010 168516668350 202220002020 252775002525 337033336700 505550005050 1011100010100