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201001020210120 = 2335131177311094417
BaseRepresentation
bin101101101100111100110010…
…011010001011101111001000
3222100200111202200202112020110
4231230330302122023233020
5202321200042133210440
61551254332142354320
760223562441600214
oct5554746232135710
9870614680675213
10201001020210120
11590550659061a9
121a663416b8b9a0
138820412a1c840
14378c703759944
15183877017a080
hexb6cf3268bbc8

201001020210120 has 128 divisors (see below), whose sum is σ = 649394020679040. Its totient is φ = 49476708741120.

The previous prime is 201001020210101. The next prime is 201001020210121. The reversal of 201001020210120 is 21012020100102.

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 = 201001020210096 and 201001020210105.

It is not an unprimeable number, because it can be changed into a prime (201001020210121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183113152 + ... + 184207568.

It is an arithmetic number, because the mean of its divisors is an integer number (5073390786555).

Almost surely, 2201001020210120 is an apocalyptic number.

201001020210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001020210120 is an abundant number, since it is smaller than the sum of its proper divisors (448393000468920).

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

201001020210120 is a wasteful number, since it uses less digits than its factorization.

201001020210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212175 (or 1212171 counting only the distinct ones).

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

Adding to 201001020210120 its reverse (21012020100102), we get a palindrome (222013040310222).

The spelling of 201001020210120 in words is "two hundred one trillion, one billion, twenty million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 117731 235462 353193 470924 588655 706386 941848 1094417 1177310 1412772 1530503 1765965 2188834 2354620 2825544 3061006 3283251 3531930 4377668 4591509 4709240 5472085 6122012 6566502 7063860 7652515 8755336 9183018 10944170 12244024 13133004 14127720 14227421 15305030 16416255 18366036 21888340 22957545 26266008 28454842 30610060 32832510 36732072 42682263 43776680 45915090 56909684 61220120 65665020 71137105 85364526 91830180 113819368 131330040 142274210 170729052 183660360 213411315 284548420 341458104 426822630 569096840 853645260 1707290520 128846807827 257693615654 386540423481 515387231308 644234039135 773080846962 1030774462616 1288468078270 1546161693924 1675008501751 1932702117405 2576936156540 3092323387848 3350017003502 3865404234810 5025025505253 5153872313080 6700034007004 7730808469620 8375042508755 10050051010506 13400068014008 15461616939240 16750085017510 20100102021012 25125127526265 33500170035020 40200204042024 50250255052530 67000340070040 100500510105060 201001020210120