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100203013011000 = 233531753833671217
BaseRepresentation
bin10110110010001001010100…
…111111101111011000111000
3111010210022111021010000212010
4112302021110333233120320
5101113211232312323000
6553040343444045520
730051300034232004
oct2662112477573070
9433708437100763
10100203013011000
1129a2294a615109
12b2a40223938a0
1343bb146753863
141aa5bcd125704
15b8b79c507d50
hex5b2254fef638

100203013011000 has 1024 divisors, whose sum is σ = 342544111902720. Its totient is φ = 24290800435200.

The previous prime is 100203013010999. The next prime is 100203013011001. The reversal of 100203013011000 is 110310302001.

It is an interprime number because it is at equal distance from previous prime (100203013010999) and next prime (100203013011001).

It is a super-2 number, since 2×1002030130110002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100203013011001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 82336082392 + ... + 82336083608.

It is an arithmetic number, because the mean of its divisors is an integer number (334515734280).

Almost surely, 2100203013011000 is an apocalyptic number.

100203013011000 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 100203013011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171272055951360).

100203013011000 is an abundant number, since it is smaller than the sum of its proper divisors (242341098891720).

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

100203013011000 is a wasteful number, since it uses less digits than its factorization.

100203013011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100203013011000 its reverse (110310302001), we get a palindrome (100313323313001).

The spelling of 100203013011000 in words is "one hundred trillion, two hundred three billion, thirteen million, eleven thousand".