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101120022240 = 2535233990067
BaseRepresentation
bin101111000101100111…
…0010001011011100000
3100200000020011100220220
41132023032101123200
53124043211202430
6114242013003040
710206564002316
oct1361316213340
9320006140826
10101120022240
1139980686416
1217720a83480
1396c68809b3
144c73ad20b6
15296c728110
hex178b3916e0

101120022240 has 96 divisors (see below), whose sum is σ = 318667789440. Its totient is φ = 26953511424.

The previous prime is 101120022233. The next prime is 101120022247. The reversal of 101120022240 is 42220021101.

It is an interprime number because it is at equal distance from previous prime (101120022233) and next prime (101120022247).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120022247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1077687 + ... + 1167753.

It is an arithmetic number, because the mean of its divisors is an integer number (3319456140).

Almost surely, 2101120022240 is an apocalyptic number.

101120022240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120022240 is an abundant number, since it is smaller than the sum of its proper divisors (217547767200).

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

101120022240 is a wasteful number, since it uses less digits than its factorization.

101120022240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92424 (or 92416 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 101120022240 its reverse (42220021101), we get a palindrome (143340043341).

The spelling of 101120022240 in words is "one hundred one billion, one hundred twenty million, twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2339 4678 7017 9356 11695 14034 18712 23390 28068 35085 37424 46780 56136 70170 74848 90067 93560 112272 140340 180134 187120 224544 270201 280680 360268 374240 450335 540402 561360 720536 900670 1080804 1122720 1351005 1441072 1801340 2161608 2702010 2882144 3602680 4323216 5404020 7205360 8646432 10808040 14410720 21616080 43232160 210666713 421333426 632000139 842666852 1053333565 1264000278 1685333704 2106667130 2528000556 3160000695 3370667408 4213334260 5056001112 6320001390 6741334816 8426668520 10112002224 12640002780 16853337040 20224004448 25280005560 33706674080 50560011120 101120022240