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1011331134100 = 225272434799863
BaseRepresentation
bin11101011011110000000…
…10000111001010010100
310120200102101221200022101
432231320002013022110
5113032201232242400
62052333224011444
7133031504542300
oct16557002071224
93520371850271
101011331134100
1135a9a3072731
12144004900b84
13744a29a2211
1436d3d2b2d00
151b49141456a
hexeb78087294

1011331134100 has 108 divisors (see below), whose sum is σ = 2612258783904. Its totient is φ = 338678262720.

The previous prime is 1011331134091. The next prime is 1011331134103. The reversal of 1011331134100 is 14311331101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011331134103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2189232 + ... + 2610631.

Almost surely, 21011331134100 is an apocalyptic number.

1011331134100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011331134100 is an abundant number, since it is smaller than the sum of its proper divisors (1600927649804).

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

1011331134100 is a wasteful number, since it uses less digits than its factorization.

1011331134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4799934 (or 4799920 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1011331134100 its reverse (14311331101), we get a palindrome (1025642465201).

The spelling of 1011331134100 in words is "one trillion, eleven billion, three hundred thirty-one million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 49 50 70 86 98 100 140 172 175 196 215 245 301 350 430 490 602 700 860 980 1075 1204 1225 1505 2107 2150 2450 3010 4214 4300 4900 6020 7525 8428 10535 15050 21070 30100 42140 52675 105350 210700 4799863 9599726 19199452 23999315 33599041 47998630 67198082 95997260 119996575 134396164 167995205 206394109 235193287 239993150 335990410 412788218 470386574 479986300 671980820 825576436 839976025 940773148 1031970545 1175966435 1444758763 1679952050 2063941090 2351932870 2889517526 3359904100 4127882180 4703865740 5159852725 5779035052 5879832175 7223793815 10113311341 10319705450 11759664350 14447587630 20226622682 20639410900 23519328700 28895175260 36118969075 40453245364 50566556705 72237938150 101133113410 144475876300 202266226820 252832783525 505665567050 1011331134100