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100220231000 = 23531914935401
BaseRepresentation
bin101110101010110010…
…1110101110101011000
3100120200112001020101102
41131111211311311120
53120222334343000
6114012431210532
710145356623251
oct1352545656530
9316615036342
10100220231000
113955978699a
121750b676a48
1395b232b346
144bca3cbb28
15291873d3d5
hex1755975d58

100220231000 has 128 divisors (see below), whose sum is σ = 248522040000. Its totient is φ = 37722240000.

The previous prime is 100220230969. The next prime is 100220231003. The reversal of 100220231000 is 132022001.

It is a happy number.

It is a super-2 number, since 2×1002202310002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220231003) 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, 2813300 + ... + 2848700.

Almost surely, 2100220231000 is an apocalyptic number.

100220231000 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 100220231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124261020000).

100220231000 is an abundant number, since it is smaller than the sum of its proper divisors (148301809000).

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

100220231000 is a wasteful number, since it uses less digits than its factorization.

100220231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35590 (or 35576 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 100220231000 its reverse (132022001), we get a palindrome (100352253001).

The spelling of 100220231000 in words is "one hundred billion, two hundred twenty million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 149 152 190 200 250 298 380 475 500 596 745 760 950 1000 1192 1490 1900 2375 2831 2980 3725 3800 4750 5662 5960 7450 9500 11324 14155 14900 18625 19000 22648 28310 29800 35401 37250 56620 70775 70802 74500 113240 141550 141604 149000 177005 283100 283208 353875 354010 566200 672619 707750 708020 885025 1345238 1415500 1416040 1770050 2690476 2831000 3363095 3540100 4425125 5274749 5380952 6726190 7080200 8850250 10549498 13452380 16815475 17700500 21098996 26373745 26904760 33630950 35401000 42197992 52747490 67261900 84077375 100220231 105494980 131868725 134523800 168154750 200440462 210989960 263737450 336309500 400880924 501101155 527474900 659343625 672619000 801761848 1002202310 1054949800 1318687250 2004404620 2505505775 2637374500 4008809240 5011011550 5274749000 10022023100 12527528875 20044046200 25055057750 50110115500 100220231000