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1010130302100 = 2235264311234663
BaseRepresentation
bin11101011001100000111…
…01010011010010010100
310120120022201101002111010
432230300131103102110
5113022221324131400
62052014130012220
7132656653620333
oct16546035232224
93516281332433
101010130302100
1135a437248897
1214392a717070
1374340c7913a
1436c67a07d1a
151b420cb2450
hexeb30753494

1010130302100 has 144 divisors (see below), whose sum is σ = 2930423885312. Its totient is φ = 268652039040.

The previous prime is 1010130302057. The next prime is 1010130302123. The reversal of 1010130302100 is 12030310101.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216624369 + ... + 216629031.

Almost surely, 21010130302100 is an apocalyptic number.

1010130302100 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 1010130302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465211942656).

1010130302100 is an abundant number, since it is smaller than the sum of its proper divisors (1920293583212).

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

1010130302100 is a wasteful number, since it uses less digits than its factorization.

1010130302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6446 (or 6439 counting only the distinct ones).

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

Adding to 1010130302100 its reverse (12030310101), we get a palindrome (1022160612201).

The spelling of 1010130302100 in words is "one trillion, ten billion, one hundred thirty million, three hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 643 1123 1286 1929 2246 2572 3215 3369 3858 4492 4663 5615 6430 6738 7716 9326 9645 11230 12860 13476 13989 16075 16845 18652 19290 22460 23315 27978 28075 32150 33690 38580 46630 48225 55956 56150 64300 67380 69945 84225 93260 96450 112300 116575 139890 168450 192900 233150 279780 336900 349725 466300 699450 722089 1398900 1444178 2166267 2888356 2998309 3610445 4332534 5236549 5996618 7220890 8665068 8994927 10473098 10831335 11993236 14441780 14991545 15709647 17989854 18052225 20946196 21662670 26182745 29983090 31419294 35979708 36104450 43325340 44974635 52365490 54156675 59966180 62838588 72208900 74957725 78548235 89949270 104730980 108313350 130913725 149915450 157096470 179898540 216626700 224873175 261827450 299830900 314192940 392741175 449746350 523654900 785482350 899492700 1570964700 3367101007 6734202014 10101303021 13468404028 16835505035 20202606042 33671010070 40405212084 50506515105 67342020140 84177525175 101013030210 168355050350 202026060420 252532575525 336710100700 505065151050 1010130302100