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101020202100 = 223252234880203
BaseRepresentation
bin101111000010101000…
…1011111010001110100
3100122202021022222102200
41132011101133101310
53123342132431400
6114224045304500
710204242356436
oct1360521372164
9318667288380
10101020202100
113992a2a8034
12176b3565130
1396abca101c
144c6474a656
152963aabb00
hex178545f474

101020202100 has 108 divisors (see below), whose sum is σ = 330409331616. Its totient is φ = 25767466560.

The previous prime is 101020202099. The next prime is 101020202147. The reversal of 101020202100 is 1202020101.

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

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 35 ways as a sum of consecutive naturals, for example, 2419402 + ... + 2460801.

Almost surely, 2101020202100 is an apocalyptic number.

101020202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020202100 is an abundant number, since it is smaller than the sum of its proper divisors (229389129516).

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

101020202100 is a wasteful number, since it uses less digits than its factorization.

101020202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4880246 (or 4880236 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101020202100 its reverse (1202020101), we get a palindrome (102222222201).

The spelling of 101020202100 in words is "one hundred one billion, twenty million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 30 36 45 46 50 60 69 75 90 92 100 115 138 150 180 207 225 230 276 300 345 414 450 460 575 690 828 900 1035 1150 1380 1725 2070 2300 3450 4140 5175 6900 10350 20700 4880203 9760406 14640609 19520812 24401015 29281218 43921827 48802030 58562436 73203045 87843654 97604060 112244669 122005075 146406090 175687308 219609135 224489338 244010150 292812180 336734007 366015225 439218270 448978676 488020300 561223345 673468014 732030450 878436540 1010202021 1098045675 1122446690 1346936028 1464060900 1683670035 2020404042 2196091350 2244893380 2806116725 3367340070 4040808084 4392182700 5051010105 5612233450 6734680140 8418350175 10102020210 11224466900 16836700350 20204040420 25255050525 33673400700 50510101050 101020202100