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100200122000 = 24531131146921
BaseRepresentation
bin101110101010001100…
…1001000011010010000
3100120122010012121000122
41131110121020122100
53120202212401000
6114010432205412
710145023661366
oct1352431103220
9316563177018
10100200122000
11395493a1790
1217504999868
1395ab10a424
144bc7875636
152916aba085
hex1754648690

100200122000 has 160 divisors (see below), whose sum is σ = 272837680128. Its totient is φ = 35260800000.

The previous prime is 100200121997. The next prime is 100200122023. The reversal of 100200122000 is 221002001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 608540 + ... + 755460.

Almost surely, 2100200122000 is an apocalyptic number.

100200122000 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 100200122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136418840064).

100200122000 is an abundant number, since it is smaller than the sum of its proper divisors (172637558128).

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

100200122000 is a wasteful number, since it uses less digits than its factorization.

100200122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146986 (or 146970 counting only the distinct ones).

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

Adding to 100200122000 its reverse (221002001), we get a palindrome (100421124001).

The spelling of 100200122000 in words is "one hundred billion, two hundred million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 31 40 44 50 55 62 80 88 100 110 124 125 155 176 200 220 248 250 275 310 341 400 440 496 500 550 620 682 775 880 1000 1100 1240 1364 1375 1550 1705 2000 2200 2480 2728 2750 3100 3410 3875 4400 5456 5500 6200 6820 7750 8525 11000 12400 13640 15500 17050 22000 27280 31000 34100 42625 62000 68200 85250 136400 146921 170500 293842 341000 587684 682000 734605 1175368 1469210 1616131 2350736 2938420 3232262 3673025 4554551 5876840 6464524 7346050 8080655 9109102 11753680 12929048 14692100 16161310 18218204 18365125 22772755 25858096 29384200 32322620 36436408 36730250 40403275 45545510 50100061 58768400 64645240 72872816 73460500 80806550 91091020 100200122 113863775 129290480 146921000 161613100 182182040 200400244 202016375 227727550 250500305 293842000 323226200 364364080 400800488 404032750 455455100 501000610 569318875 646452400 801600976 808065500 910910200 1002001220 1138637750 1252501525 1616131000 1821820400 2004002440 2277275500 2505003050 3232262000 4008004880 4554551000 5010006100 6262507625 9109102000 10020012200 12525015250 20040024400 25050030500 50100061000 100200122000