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1100234014000 = 24531176165717
BaseRepresentation
bin10000000000101011000…
…011101011110100110000
310220011220012101220120221
4100000223003223310300
5121011234401422000
62201235053142424
7142326552546052
oct20005303536460
93804805356527
101100234014000
113946744661a0
1215929618aa14
137c9a04115b4
143b3745c18d2
151d9462c861a
hex1002b0ebd30

1100234014000 has 160 divisors (see below), whose sum is σ = 2906075195712. Its totient is φ = 399553280000.

The previous prime is 1100234013959. The next prime is 1100234014001. The reversal of 1100234014000 is 4104320011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1100234014001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16709142 + ... + 16774858.

Almost surely, 21100234014000 is an apocalyptic number.

1100234014000 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 1100234014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453037597856).

1100234014000 is an abundant number, since it is smaller than the sum of its proper divisors (1805841181712).

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

1100234014000 is a wasteful number, since it uses less digits than its factorization.

1100234014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66512 (or 66496 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1100234014000 its reverse (4104320011), we get a palindrome (1104338334011).

The spelling of 1100234014000 in words is "one trillion, one hundred billion, two hundred thirty-four million, fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 761 880 1000 1100 1375 1522 2000 2200 2750 3044 3805 4400 5500 6088 7610 8371 11000 12176 15220 16742 19025 22000 30440 33484 38050 41855 60880 65717 66968 76100 83710 95125 131434 133936 152200 167420 190250 209275 262868 304400 328585 334840 380500 418550 525736 657170 669680 722887 761000 837100 1046375 1051472 1314340 1445774 1522000 1642925 1674200 2092750 2628680 2891548 3285850 3348400 3614435 4185500 5257360 5783096 6571700 7228870 8214625 8371000 11566192 13143400 14457740 16429250 16742000 18072175 26286800 28915480 32858500 36144350 50010637 57830960 65717000 72288700 90360875 100021274 131434000 144577400 180721750 200042548 250053185 289154800 361443500 400085096 500106370 550117007 722887000 800170192 1000212740 1100234014 1250265925 1445774000 2000425480 2200468028 2500531850 2750585035 4000850960 4400936056 5001063700 5501170070 6251329625 8801872112 10002127400 11002340140 12502659250 13752925175 20004254800 22004680280 25005318500 27505850350 44009360560 50010637000 55011700700 68764625875 100021274000 110023401400 137529251750 220046802800 275058503500 550117007000 1100234014000