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100142211000 = 23353132567749
BaseRepresentation
bin101110101000011110…
…0001101111110111000
3100120111002020102001210
41131100330031332320
53120042401223000
6114001003043120
710143421514556
oct1352074157670
9316432212053
10100142211000
1139519738357
12174a95104a0
13959c112270
144bbdcbcbd6
15291197b350
hex1750f0dfb8

100142211000 has 128 divisors (see below), whose sum is σ = 336477960000. Its totient is φ = 24650380800.

The previous prime is 100142210953. The next prime is 100142211019. The reversal of 100142211000 is 112241001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 1244875 + ... + 1322874.

Almost surely, 2100142211000 is an apocalyptic number.

100142211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100142211000 is an abundant number, since it is smaller than the sum of its proper divisors (236335749000).

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

100142211000 is a wasteful number, since it uses less digits than its factorization.

100142211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567786 (or 2567772 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100142211000 its reverse (112241001), we get a palindrome (100254452001).

The spelling of 100142211000 in words is "one hundred billion, one hundred forty-two million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1500 1560 1625 1950 2600 3000 3250 3900 4875 6500 7800 9750 13000 19500 39000 2567749 5135498 7703247 10270996 12838745 15406494 20541992 25677490 30812988 33380737 38516235 51354980 61625976 64193725 66761474 77032470 100142211 102709960 128387450 133522948 154064940 166903685 192581175 200284422 256774900 267045896 308129880 320968625 333807370 385162350 400568844 500711055 513549800 641937250 667614740 770324700 801137688 834518425 962905875 1001422110 1283874500 1335229480 1540649400 1669036850 1925811750 2002844220 2503555275 2567749000 3338073700 3851623500 4005688440 4172592125 5007110550 6676147400 7703247000 8345184250 10014221100 12517776375 16690368500 20028442200 25035552750 33380737000 50071105500 100142211000