Search a number
-
+
2122030202100 = 2235223535802653
BaseRepresentation
bin11110111000010010110…
…110110011110011110100
321111212022221012102011220
4132320102312303303310
5234231404212431400
64302502555430340
7306211613052024
oct36702266636364
97455287172156
102122030202100
11748a47800886
122a331b7553b0
1312515023ba53
14749c76b3a84
153a2eb30e7a0
hex1ee12db3cf4

2122030202100 has 144 divisors (see below), whose sum is σ = 6527567958912. Its totient is φ = 531058711040.

The previous prime is 2122030202087. The next prime is 2122030202137. The reversal of 2122030202100 is 12020302212.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2122030202100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2535627 + ... + 3267026.

It is an arithmetic number, because the mean of its divisors is an integer number (45330333048).

Almost surely, 22122030202100 is an apocalyptic number.

2122030202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122030202100 is an abundant number, since it is smaller than the sum of its proper divisors (4405537756812).

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

2122030202100 is a wasteful number, since it uses less digits than its factorization.

2122030202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5802746 (or 5802739 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2122030202100 its reverse (12020302212), we get a palindrome (2134050504312).

The spelling of 2122030202100 in words is "two trillion, one hundred twenty-two billion, thirty million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 53 60 69 75 92 100 106 115 138 150 159 212 230 265 276 300 318 345 460 530 575 636 690 795 1060 1150 1219 1325 1380 1590 1725 2300 2438 2650 3180 3450 3657 3975 4876 5300 6095 6900 7314 7950 12190 14628 15900 18285 24380 30475 36570 60950 73140 91425 121900 182850 365700 5802653 11605306 17407959 23210612 29013265 34815918 58026530 69631836 87039795 116053060 133461019 145066325 174079590 266922038 290132650 307540609 348159180 400383057 435198975 533844076 580265300 615081218 667305095 800766114 870397950 922621827 1230162436 1334610190 1537703045 1601532228 1740795900 1845243654 2001915285 2669220380 3075406090 3336525475 3690487308 4003830570 4613109135 6150812180 6673050950 7073434007 7688515225 8007661140 9226218270 10009576425 13346101900 14146868014 15377030450 18452436540 20019152850 21220302021 23065545675 28293736028 30754060900 35367170035 40038305700 42440604042 46131091350 70734340070 84881208084 92262182700 106101510105 141468680140 176835850175 212203020210 353671700350 424406040420 530507550525 707343400700 1061015101050 2122030202100