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103001030100 = 223252642717807
BaseRepresentation
bin101111111101101010…
…1101111110111010100
3100211212022121110121200
41133323111233313110
53141421230430400
6115152405312500
710304314211253
oct1377325576724
9324768543550
10103001030100
113a75643a471
1217b66a05730
139936494ab7
144db185479a
152a2c933b00
hex17fb56fdd4

103001030100 has 108 divisors (see below), whose sum is σ = 322919373504. Its totient is φ = 27461125440.

The previous prime is 103001030087. The next prime is 103001030107. The reversal of 103001030100 is 1030100301.

It is a super-2 number, since 2×1030010301002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103001030107) 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, 5775397 + ... + 5793203.

Almost surely, 2103001030100 is an apocalyptic number.

103001030100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103001030100 is an abundant number, since it is smaller than the sum of its proper divisors (219918343404).

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

103001030100 is a wasteful number, since it uses less digits than its factorization.

103001030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24254 (or 24244 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 103001030100 its reverse (1030100301), we get a palindrome (104031130401).

It can be divided in two parts, 10300 and 1030100, that added together give a square (1040400 = 10202).

The spelling of 103001030100 in words is "one hundred three billion, one million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 6427 12854 17807 19281 25708 32135 35614 38562 53421 57843 64270 71228 77124 89035 96405 106842 115686 128540 160263 160675 178070 192810 213684 231372 267105 289215 320526 321350 356140 385620 445175 482025 534210 578430 641052 642700 801315 890350 964050 1068420 1156860 1335525 1446075 1602630 1780700 1928100 2671050 2892150 3205260 4006575 5342100 5784300 8013150 16026300 114445589 228891178 343336767 457782356 572227945 686673534 1030010301 1144455890 1373347068 1716683835 2060020602 2288911780 2861139725 3433367670 4120041204 5150051505 5722279450 6866735340 8583419175 10300103010 11444558900 17166838350 20600206020 25750257525 34333676700 51500515050 103001030100