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101002100212020 = 22357397605746073
BaseRepresentation
bin10110111101110001100010…
…010011100000000100110100
3111020121201002000122210001010
4112331301202103200010310
5101214304300123241040
6554451420240032220
730163106125330350
oct2675614223400464
9436551060583033
10101002100212020
112a2008284a5487
12b3b2a73002670
1344485c3574c97
141ad275615c460
15ba246a5e0e80
hex5bdc624e0134

101002100212020 has 96 divisors (see below), whose sum is σ = 324020843935488. Its totient is φ = 23028042673152.

The previous prime is 101002100212001. The next prime is 101002100212067. The reversal of 101002100212020 is 20212001200101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101002100211987 and 101002100212005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302706297 + ... + 303039776.

It is an arithmetic number, because the mean of its divisors is an integer number (3375217124328).

Almost surely, 2101002100212020 is an apocalyptic number.

101002100212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002100212020 is an abundant number, since it is smaller than the sum of its proper divisors (223018743723468).

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

101002100212020 is a wasteful number, since it uses less digits than its factorization.

101002100212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605746489 (or 605746487 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101002100212020 its reverse (20212001200101), we get a palindrome (121214101412121).

The spelling of 101002100212020 in words is "one hundred one trillion, two billion, one hundred million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 397 420 794 1191 1588 1985 2382 2779 3970 4764 5558 5955 7940 8337 11116 11910 13895 16674 23820 27790 33348 41685 55580 83370 166740 605746073 1211492146 1817238219 2422984292 3028730365 3634476438 4240222511 6057460730 7268952876 8480445022 9086191095 12114921460 12720667533 16960890044 18172382190 21201112555 25441335066 36344764380 42402225110 50882670132 63603337665 84804450220 127206675330 240481190981 254413350660 480962381962 721443572943 961924763924 1202405954905 1442887145886 1683368336867 2404811909810 2885774291772 3366736673734 3607217864715 4809623819620 5050105010601 6733473347468 7214435729430 8416841684335 10100210021202 14428871458860 16833683368670 20200420042404 25250525053005 33667366737340 50501050106010 101002100212020