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1102232132200 = 235243881914533
BaseRepresentation
bin10000000010100010001…
…001111001101001101000
310220101001110012211110201
4100002202021321221220
5121024332411212300
62202205231521544
7142430224352413
oct20024211715150
93811043184421
101102232132200
113954aa337a51
121597533892b4
137cc2b37a264
143b4c3b0ab7a
151da1191866a
hex100a2279a68

1102232132200 has 96 divisors (see below), whose sum is σ = 2622764944800. Its totient is φ = 430561071360.

The previous prime is 1102232132189. The next prime is 1102232132203. The reversal of 1102232132200 is 22312322011.

It is not an unprimeable number, because it can be changed into a prime (1102232132203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75836134 + ... + 75850666.

It is an arithmetic number, because the mean of its divisors is an integer number (27320468175).

Almost surely, 21102232132200 is an apocalyptic number.

1102232132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102232132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311382472400).

1102232132200 is an abundant number, since it is smaller than the sum of its proper divisors (1520532812600).

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

1102232132200 is a wasteful number, since it uses less digits than its factorization.

1102232132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23411 (or 23402 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1102232132200 its reverse (22312322011), we get a palindrome (1124544454211).

The spelling of 1102232132200 in words is "one trillion, one hundred two billion, two hundred thirty-two million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 4300 8600 8819 14533 17638 29066 35276 44095 58132 70552 72665 88190 116264 145330 176380 220475 290660 352760 363325 379217 440950 581320 624919 726650 758434 881900 1249838 1453300 1516868 1763800 1896085 2499676 2906600 3033736 3124595 3792170 4999352 6249190 7584340 9480425 12498380 15168680 15622975 18960850 24996760 31245950 37921700 62491900 75843400 124983800 128166527 256333054 512666108 640832635 1025332216 1281665270 2563330540 3204163175 5126661080 5511160661 6408326350 11022321322 12816652700 22044642644 25633305400 27555803305 44089285288 55111606610 110223213220 137779016525 220446426440 275558033050 551116066100 1102232132200