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990251331100 = 2252172332037907
BaseRepresentation
bin11100110100011111001…
…01000010111000011100
310111200000022120201210221
432122033211002320130
5112211013320043400
62034525402411124
7131354231301553
oct16321745027034
93450008521727
10990251331100
11351a66073739
1213bb01200aa4
13724c36988c5
1435cdd828d9a
151ab5a9a1c1a
hexe68f942e1c

990251331100 has 144 divisors (see below), whose sum is σ = 2375213476608. Its totient is φ = 356435368960.

The previous prime is 990251331053. The next prime is 990251331143. The reversal of 990251331100 is 1133152099.

990251331100 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 (34).

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, 125233347 + ... + 125241253.

It is an arithmetic number, because the mean of its divisors is an integer number (16494538032).

Almost surely, 2990251331100 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 990251331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187606738304).

990251331100 is an abundant number, since it is smaller than the sum of its proper divisors (1384962145508).

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

990251331100 is a wasteful number, since it uses less digits than its factorization.

990251331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11164 (or 11157 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 34.

Adding to 990251331100 its reverse (1133152099), we get a palindrome (991384483199).

The spelling of 990251331100 in words is "nine hundred ninety billion, two hundred fifty-one million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 23 25 34 46 50 68 85 92 100 115 170 230 340 391 425 460 575 782 850 1150 1564 1700 1955 2300 3203 3910 6406 7820 7907 9775 12812 15814 16015 19550 31628 32030 39100 39535 54451 64060 73669 79070 80075 108902 134419 147338 158140 160150 181861 197675 217804 268838 272255 294676 320300 363722 368345 395350 537676 544510 672095 727444 736690 790700 909305 1089020 1252373 1344190 1361275 1473380 1818610 1841725 2504746 2688380 2722550 3091637 3360475 3637220 3683450 4546525 5009492 5445100 6183274 6261865 6720950 7366900 9093050 12366548 12523730 13441900 15458185 18186100 25047460 25326121 30916370 31309325 50652242 61832740 62618650 77290925 101304484 125237300 126630605 154581850 253261210 309163700 430544057 506522420 582500783 633153025 861088114 1165001566 1266306050 1722176228 2152720285 2330003132 2532612100 2912503915 4305440570 5825007830 8610881140 9902513311 10763601425 11650015660 14562519575 19805026622 21527202850 29125039150 39610053244 43054405700 49512566555 58250078300 99025133110 198050266220 247562832775 495125665550 990251331100